How do you find the slope of a line? How do you know if two lines are parallel? give examples

Answer:

[tex]y=-2x+3[/tex]

Step-by-step explanation:

Equation of straight line in slope intercept form is given as

[tex]y=mx+b[/tex]

Here

Slope of line m=-2 (for every one step on x-axis line going down 2 step on y-axis)

y-intercept b=3

[tex]y=-2x+3[/tex]

Answer:6-(3=5)

Step-by-step explanation:beacause you add +2

Answer:

The length of rectangle is 78 and width is 46

Step-by-step explanation:

Let l be the length of rectangle and w be the width of rectangle

Then according to given statement

"The length and width of a rectangle  added together is 124"

[tex]l+w = 124[/tex]  Eqn 1

And

[tex]l-w = 32[/tex]    Eqn 2

The equation form a system of linear equation in two variables. We can use different methods to solve he system.

We will use the elimination method

Adding equation 1 and equation 2

[tex]l+w+l-w = 124+32\\2l = 156\\\frac{2l}{2} = \frac{156}{2}\\l = 78[/tex]

Putting l = 78 in equation 1

[tex]78+w = 124\\w = 124-78\\w = 46[/tex]

Hence,

The length of rectangle is 78 and width is 46

Answer:

2y = x + 7

3x + 7y = 240

Step-by-step explanation:

Answer:

Gym A

Step-by-step explanation:

A linear relationship is a relationship of the form y = mx + b, where y and x are the linear variables, m is the rate of change and b is the value of y when x = 0.

Gym A:

Let x represent the month and y represent the total cost for the gym. From the table, we can represent the values in the form (x, y) as (1,70), (2, 90) and (3, 110). We can find the relationship between x and y using the formula:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\Let \ us\ use\ the\ points\ (1,70)\ and\ (3,110),hence:\\\\y-70=\frac{110-70}{3-1}(x-1)\\\\y-70=20(x-1)\\\\y=20x-20+70 \\\\y=20x+50\\\\For\ 10\ months(i.e.\ x=10):\\\\y=20x+50\\\\y=20(10)+50\\\\y=\$250[/tex]

Gym B:

We can represent the values from the table as (1,55), (2, 80) and (3, 105). We can find the relationship between x and y using the formula:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\Let \ us\ use\ the\ points\ (1,55)\ and\ (3,105),hence:\\\\y-55=\frac{105-55}{3-1}(x-1)\\\\y-55=25(x-1)\\\\y=25x-25+55 \\\\y=25x+30\\\\For\ 10\ months(i.e.\ x=10):\\\\y=25x+30\\\\y=25(10)+30\\\\y=\$28 0[/tex]

Hence gym A would cost less ($250 < $280)

Answer:

600

Step-by-step explanation:

You would do 1200 x 1/2 = 600

Hope this helps :D

Answer:

$0.40 per minute

Step-by-step explanation:

You divide 6.40 by 16 to get 0.40.

To fact check this, I multiplied 0.40 by 16 and got 6.40.

Answer:

21v = 0

v = 0

Step-by-step explanation:

Answer:

D. 797,481

Step-by-step explanation:

So, with the number 653,841, the number that is in the hundreds place is 8, meaning that the number is 800. So now, since you have to find 1/10 of the value, you have to divid it by 10, giving you 80. Now, looking at the answers, you have to find the number with 8 in the tens place, which is D.

Answer:

y=2 you're welcome Please Mark Me Brainliest

Step-by-step explanation:

Answer:

-8

10*-8=-80

-80-20 +-100

Answer:

y = -2/3x - 1

Step-by-step explanation:

Answer:

[tex]y =-\frac{2}{3} x - \frac{2}{3}[/tex]

Step-by-step explanation:

Equation of line in point slope form is given as

[tex]y-y_1=m(x-x_1)[/tex]

Here

m=-2/3 and [tex](x_1, y_1)=(-1, 0)[/tex]

Equation of the line passing through the point (-1, 0) with slope -2/3 is

[tex]y-0=-\frac{2}{3} (x-(-1))[/tex]

[tex]y =-\frac{2}{3} (x+1)[/tex]

[tex]y =-\frac{2}{3} x - \frac{2}{3}[/tex]

Take the root of both sides and solve.

x = 8√−10, −8√−10

Answer:

(a+b)(2x−ab+a−b)+x(a−b)+x²

Step-by-step explanation:

I can't make a good explanation, so here's a graph.

Also, this wouldn't be a proportional relationship because of exponents on the last term.

This is really a parabola.

Answer:

Line CA

Step-by-step explanation:

A transversal is a line that intersects two parallel lines at an angle

BA would not be a transversal to the given lines because it is instead a perpendicular line

Answer:

The graph below shows that y = x+4 has one solution the rest are all parallel.

Step-by-step explanation:

Answer:

y = x + 4

Intersects at (0,4).

Step-by-step explanation:

y = 2x -4: No solution(parallel)

y = 2(x+2): Infinite many solutions(same line)

y = 2(x-4): No solution(Also parallel)

y = x + 4: One Solution(Intersects at (0,4)).

Answer:

The answer is "Option C".

Step-by-step explanation:

The census is meant to count a whole population of a nation and the place, where everyone normally lives. It is a statistical method, which analyses all groups or components of its community used then for a specific particular population so not all representatives with this population. It try to collect data from everybody in the community and we're doing a census.

Answer:

12 cups of milk

Step-by-step explanation:

36/12= 3

4 x 3= 12

So the Answer is 12 cups of milk

Answer:

4.5 gallons

thats the answer

Answer:

15 pairs of combinations

Answer:

[tex]3(x + 4) = 27 \\ (x + 4) = \frac{27}{3} \\ (x + 4) = 9 \\ x = (9 - 4) \\ \boxed{x = 5}✓[/tex]

Answer:

the answer is 5 because when you do PEMDAS 5+4 is 9 and then when you do 3×9 you get 27.

Step-by-step explanation:

x=5

Answer:

y=-1/3x+10

Step-by-step explanation:

y=3x+1

The line perpendicular would have a negative reciprocal of the slope of 3 which means that you would add a negative sign and then flip 3/1 into 1/3 resulting in -1/3 as the slope.

To find the line that passes through the point (6,8) you would plug the values into the equation y=mx+b

m=-1/3x as found above

6 is the x-value and 8 is the y-value

8=(-1/3)(6)+b

8=-2+b

Add 2 on both sides and you get b to equal 10  

Answer:

10 tickets = $5

25 tickets = $12.50

50 tickets = $25

100 tickets = $50

Step-by-step explanation:

If 1 ticket equals 0.50 in order to find the price for 10 all you do is do 10 x 0.50. The same for all the others. Just take the amount of tickets and multiply them by 0.50. :)

Answer: have a good day

Step-by-step explanation:

because you deserve it

Answer:

add 6x to both sides (3x+3=-18)

subtract 3 from both sides (3x=-21)

divide by 3 on both sides (x=-7)

x=-7 is final answer