A line passes through the points (−4,−9)
and (−2,−6) What is the equation of the line in Slope-Intercept Form?
Answers
Answer:
D. [tex] y - 5= 3(x - 1) [/tex]
B. [tex] y = \frac{3}{2}x - 3 [/tex]
Step-by-step explanation:
Problem 1:
Point-slope form equation is given as [tex] y - y_1 = m(x - x_1) [/tex], where, (x1, y1) is a point on the line, and m = slope.
Find the slope of the line of the graph given, using 2 points on the line, points (0, 2) and (1, 5).
[tex] m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{2 - 5}{0 - 1} = \frac{-3}{-1} = 3 [/tex]
Substitute (x1, y1) = (1, 5) and m = 3 into [tex] y - y_1 = m(x - x_1) [/tex]
[tex] y - 5= 3(x - 1) [/tex]
The answer is D.
Problem 2:
Slope-intercept equation takes the form: [tex] y = mx + b [/tex], where, m = slope, and b = y-intercept.
Find m and b.
Given, points (−4,−9) and (−2,−6),
[tex] slope(m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-6 -(-9)}{-2 -(-4)} = \frac{3}{2} = \frac{3}{2} [/tex]
Substitute x = -2, y = -6, and m = ³/2 into [tex] y = mx + b [/tex], to find b:
[tex] -6 = \frac{3}{2}(-2) + b [/tex],
Subtract b from both sides
[tex] -6 = -3 + b [/tex]
Add 3 to both sides
[tex] -6 + 3 = b [/tex]
[tex] -3 = b [/tex]
[tex] b = -3 [/tex]
Substitute m = ³/2, b = -3 into [tex] y = mx + b [/tex]
[tex] y = \frac{3}{2}x + (-3) [/tex]
[tex] y = \frac{3}{2}x - 3 [/tex]
The answer is B.
Related Questions
If a rectangle is (x+2) wide and (x-7) in length, the area of the rectangle is?
Answers
Answer: x² - 5x - 14
Step-by-step explanation: Start with the formula for the area of a rectangle.
Area = length x width
To multiply these two binomials, let's use the F.O.I.L. method.
The product of the first terms is x².
The product of the outer terms is -7x.
The product of the inner terms is 2x.
The product of the last terms is -14.
So we have x² - 7x + 2x - 14 which simplifies to x² - 5x - 14.
WILL MARK YOU BRAINLIEST HURRY PLZZZ!! I think its C but im not sure
Answers
Answer:
B
Step-by-step explanation:
You can rule out all others. A is wrong because a triangle cannot be acute and obtuse at the same time. C is wrong because a polygon dosen't neccassarily need to be a triangle, for example, a polygon is a closed shape, so it could be a rectangle. It isn't D because there are obtuse triangles out there. So, the only one left is B.
The answer is B because if the triangle is a polygon then the conclusion would be that it is either acute or obtuse.
can someone explain this??
Answers
Answer:mark me a brainiest pls
that is a linear function search it up on Google youl get the answer from there
Solve 5x3 – 23x2 + 29x – 15 = 0.
Answers
Answer:
its b
Step-by-step explanation:
Answer:
{x = 3, x = 4/5 + i(3/5), x = 4/5 - i(3/5)}
So B
Which expression would represent the cost of one CD, if the total cost for three of them is $36?
36-3
3(36)
36/3
3+36
Answers
Answer:
C: 36/3
Step-by-step explanation:
36 ÷ 3 = 12
We solve by using the total amount of dollars and dividing by how many CDs there are
Answer:C: 36/3
Step-by-step explanation:
36 ÷ 3 = 12
We solve by using the total amount of dollars and dividing by how many CDs there are
Which values are in the solution set of the inequality -23x+13>-1
(> this symbol has a line underneath meaning equal to)
Answers
please be more specific
Answer:
x ≤ 14/23orx = ( -oo, 14/23]Step-by-step explanation:
Solving is steps
-23x + 13 ≥ -1 ⇒ add -13 to both sides-23x ≥ - 1 - 13-23x ≥ - 14 ⇒ divide both sides by - 23, inequality sign reversesx ≤ 14/23 ⇒ answeror
x = ( -oo, 14/23] ⇒ answer as setPicture attached !!!
Answers
Answer:
D.
Step-by-step explanation:
Since they are both the same angle measures, they are congruent, and also corresponding since they are located on the same side and half of the different lines.
PLEASE HELP ME ON 10. PLEASE IM TIMED AND MY TEACHER IS GOING TO SUBMIT IT
Answers
Answer:
I cant see it that well
In the diagram, point D divides line segment AB in the ratio of 5:3. If line segment AC is vertical and line segment CD is horizontal, what are the coordinates of point C?
A.
(7, -1)
B.
(2, -3)
C.
(2, -1)
D.
(5, -3)
Rese
Answers
Answer:
a
Step-by-step explanation:
Answer:
The correct answer for plato is option C
Step-by-step explanation:
C. (2, -1)
4(x+3)=4x+12
Please help me
Answers
Answer: x = 3
Step-by-step explanation:
The point-slope form of a line that has a slope of -2 and passes through point (5,-2) is shown below.
y+2=-2(x-5)
What is the equation in slope-intercept form?
Oy=-2x+ 12
O y=-2x+8
y=-2X-7
O y=-2x-3
Answers
Answer:
y=-2x+8
Step-by-step Explanation:
could you vote me brainliest plz? thx :)
the roaming sell phone company charge's 15.00 a month plus 0.20 per minute of airtime usage. if juanita uses x minutes of air time what is the equation that can be used to determine her monthly phone bill (c)?
Answers
Answer:
$63.00
Step-by-step explanation:
Since you have sales tax, you would do a 10% sales tax for 15 dollar
10/100 = x/15
Therefore you will calculate x and 100 divided by 15 which would be 6.6 repeated
You would round to the nearest tenth and get 6.6 then you would add 56.4 as in the tip+ month airtime usage and get 63 dollars.
solve y=-2/5x+1/10 as a standard notation
Answers
Answer:
4
x
+
10
y
=
10
Explanation:
Standard linear form is
XXX
A
x
+
B
y
=
C
with
A
,
B
,
C
∈
Z
and
A
≥
0
Given
XXX
y
=
−
2
5
x
+
1
10
Multiply both sides by
10
XXX
10
y
=
−
4
x
+
1
Add
4
x
to both sides
XXX
4
x
+
10
y
=
1
Step-by-step explanation:
Al and Angela both took out loans from the bank for $2,000 to help with their bills. Al's loan was calculated with a simple interest rate of 14% and Angela's loan had an interest rate of 13% that compounded annually. They each paid off their loans in 5 years. Who repaid the bank more money and how much more did they repay?
Answers
Answer:
Angela $3680Step-by-step explanation:
For Al's loan (simple interest )
p=$2000
rate=14%= 14/100= 0.14
time t= 5years
A=p(1+rt)]
A=2000(1+0.14*5)
A=2000(1+0.7)
A=2000(1.7)
A=$3400
For Angela loan (compounded interest )
p=$2000
rate=13%= 14/100= 0.13
time t= 5years
A=p(1+r)^t
A=2000(1+0.13)^5)
A=2000(1+0.13)^5
A=2000(1.13)^5
A= 2000*1.84
A=$3680
Angela repaid more
Find the interquartile range of the data.
84,75,90,87,99,91,85,88,76,92,94
The interquartile range is
Answers
Interquartile Range: 8
The ratio of men to women at a basketball game was 4:3. If there were 80 men at the basketball game, how many women were at the game?
Answers
Answer:
60
Step-by-step explanation:
braniest please
Annie reads 8 1/3 pages of a book in 10 minutes. What is her average reading rate in pages per minute?
Answers
What is the slope of a line perpendicular to the line whose equation is x-2y=12? Fully reduce your answer
Answers
Answer:
First, we need to solve the equation in the problem for y to put it in slope-intercept form so we can determine its slope:
2y−6x=4
2y−6x+6x=6x+4
2y−0=6x+4
2y=6x+4
2y2=6x+42
2y2=(6x2)+(42)
y=3x+2
The slope-intercept form of a linear equation is: y=mx+b
Where m is the slope and b is the y-intercept value.
Therefore the slope of this equation is m=3
A perpendicular line will have a slope (let's call this slope mp) that is the negative inverse of this line. Or, mp=−1m
Substituting gives:
mp=−13
Answer:
-2
Step-by-step explanation:
Simplify. 49/16
Be sure to write your answer in simplest form.
Answers
Answer:
3 1/16
Step-by-step explanation:
3 is the whole number
What is the reflection of -3,3 over the y axis
Answers
Answer:
3,-3 on x axis
Step-by-step explanation:
HELP PLZ!!!i cant figure this out and dont worry about what else im typin it wont let me continue without having 20 word typed so I’m just typin but can u help plz
Answers
Answer:
The length is 42 inches and the width is 14 inches
Step-by-step explanation:
You know the width is 1/3 of the length, and the length is basically the longer side of a rectangle. The width is y-4, so multiply using distributive property to get 3y-12.
You now know that the 2y+6 is equal to 3y-12, so you add 12 to both sides using additive property of addition to get 2y+18=3y.
Then you subtract 2y from both sides to get the unit value of y.
Y is equal to 18.
Then you can plug 18 into the y's to get
2(18)+6 which is 36+6 = 42
18-4 = 14
There you go.
The length is the longer side which is 42 inches and the width is 14 inches
Hope this helps!
The number 45 is no
more than the difference of 2 times a number m and 3.
Answers
Answer:
m ∈ <24, ∞)Step-by-step explanation:
m - given number
2m - 2 times the number m
2m-3 - the difference of 2 times the number m and 3
the number 45 is no more than the difference of 2 times a number m and 3
45 ≤ 2m - 3
-2m -2m
45 - 2m ≤ -3
-45 -45
- 2m ≤ -48
÷(-2) ÷(-2)
m ≥ 24
m ∈ <24, ∞)
If g(x) = x2 – 4, then what is g(-4)?
0 -20
0 -8
O 12
O 20
Answers
Answer:
g(- 4) = 12
Step-by-step explanation:
To evaluate g(- 4), substitute x = - 4 into g(x), that is
g(- 4) = (- 4)² - 4 = 16 - 4 = 12
HELP!!!!!!!!!!! Please like fast please and thank you
Answers
Answer:
C
Step-by-step explanation:
39-7=32
40-7=33
41-7=34
42-7=35
I have 40 softballs i give 5 softballs to each player. How many players can i give softballs to so that i have at most 10 softballs left
Answers
Answer:
6
Step-by-step explanation:
5 to each players means you have 6 players and then you have 10 left for yourself
Answer:
You can hand out 5 softballs to 6 players.
Step-by-step explanation:
In order to solve this problem, you need to divide 30 balls to each player (In order to have 10 left.) 30 divided by 5 is 6, so you can only hand out 5 balls to 6 players in order to have 10 left out of 40.
Select ALL the correct answers.
Which of the following would be appropriate to measure in centimeters?
- the height of a standard ceiling
- the width of a swimming pool
- the yearly increase in a child's height
- the distance between Philadelphia and New York City
- the length of a paperclip
Answers
the length of a paper clip
PLEASE HELP ANSWER THIS ASAP
Answers
Answer:
B
Step-by-step explanation:
Open circle: < or >
Arrows point outward
Points located at 5 and 18
Answer:
a
Step-by-step explanation:
BRO HELP I GOT SO MUCH F'S ANYWAYS WHAT IS 9-(3.7)
Answers
Answer:
5.4
Step-by-step explanation:
9 - 3.7
9 + -3.7 = 5.4
Answer:
5.3
Step-by-step explanation:
PLEASE HELP! I left to go eat and when I came back I forgot what I was doing.
The image shown is of two sets of parallel lines.
The m∠ 13 = 29x - 2 and the m∠ 9 = 27x + 6
What is the m∠ 12?
Answers
Answer:
x=4
m<12 = 66
Step-by-step explanation:
Answer:
x = 4
m∠12 = 66
m∠13 and m∠12 are linear pairs (supplementry angles)
Step-by-step explanation:
m∠9 ≈ m∠15 (Vertical angle)
m∠15 ≈ m∠13 (Corresponding angle)
m∠9 ≈ m∠13
29x - 2 = 27x + 6
2x - 2 = 6
2x = 8
x = 4
m∠13 = 29(4) - 2
m∠13 = 114
m∠13 + m∠12 = 180
180 - m∠13 = m∠12
180 - 114 = 66
m∠12 = 66
Sebastian scored a 94% on a test. Frankie answered 43 questions correctly out of 50 total questions. Who scored higher on the test?
Answers
Answer:
Sebastian did.
Step-by-step explanation:
seb = 94% or 47/50
while frankie = 43/50 or 86%
Also look at 50 if you want and you can see it divides evenly with 100. Basically each mistake you make is 2 percent lost.
Answer: Sebastian
Step-by-step explanation: Divide 43 by 50.
43/50=0.86
tests are graded by the decimal point so he got 86%
since 94% is more than 86% sebastian scored higher