two points on a line are (-10, 1) and (5,-5). if
the y-coordinate of another point on the line is
-3, what is the x-coordinate?

The x-coordinate is 0

Step-by-step explanation:

step 1

Find the slope  m of the line

we have the points

(-10, 1) and (5,-5)

The formula to calculate the slope between two points is equal to

substitute the values

Simplify

step 2

Find the equation of the line in slope intercept form

where

m is the slope

b is the y-intercept

we have

substitute in the equation and solve for b

The equation of the line is

step 3

Find the x-coordinate of another point in the line if the y-coordinate is -3

For y=-3

substitute in the equation and solve for x

The point is (0,-3) -----> the y-intercept

therefore

The x-coordinate is 0