Question

Someone help please! Determine the intercept of the line that passes through the following points ​

Answer 1

x: (-5.0)

y: (0, -17.5)

Explanation:

The x-intercept of the line is when y=0. In the table is the point (-5,0). This is the x-intercept.

To find the y-intercept, find when x=0. Write an equation for the table in y=mx + b. Find the slope between two points first.

`m = (y_2-y_1)/(x_2-x_1) = (7-0)/(-7--5) =(7)/(-7+5)=-(7)/(2) = -3.5`

The slope is -3.5. So the equation is

y - 7 = -3.5(x--7)

y - 7 = -3.5 (x+7)

y - 7 = -3.5x - 24.5

y = 3.5x - 17.5

Since it is in y=mx+b, b= -17.5 and this is the y-intercept.