Question

Find the equation of the line with x-intercept 4 and y-intercept -1 in slope-intercept
form.

Answer 1

Explanation:

The slope-intercept form is y=mx+b, where m is the slope and b is the y-coordinate of the y-intercept, so we can already conclude that b=-1.

This results in y = mx - 1

We also have the x-intercept, and we know that the y-coordinate of an x-intercept is always 0. This means that we have the point (4,0). Substitute this into the formula to generate m:

0 = 4m - 1

4m = 1

m = 1/4

thus y =
`(1)/(4)`x - 1