The table shows the linear relationship between x, the altitude in feet, and y, the boiling point of water in degrees Fahrenheit. What are the slope and y- intercept of the line that models this situation?
A. Slope=- 0.0018, y-intercept = 212
B. Slope= 0.0018, y-intercept =-212
C. Slope =212, y- intercept= 0.0018
D. Slope=-212, y-intercept = 0.0018
Answers
Answer:B
Step-by-step explanation
The slope of the linear relation is -0.0018 and the y-intercept will be 212. The correct option is B.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data in the table is,
Altitude(x) Boiling point (y)
0 212.0
500 211.1
The slope will be calculated as,
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = ( 211.1 - 212 ) / (500 - 0 )
Slope = -0.0018
The y-intercept will be calculated as,
y = mx + c
212 = 0 + c
c = 212
Therefore, the slope of the linear relation is -0.0018 and the y-intercept will be 212. The correct option is B.
To know more about an equation of the line follow
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