How do you find the equation, x-intercept, and the y-intercept for the line with an x-intercept of 4 and a slope of 3/4?

1 Answer
Jan 17, 2018

xx-intercept is 44, yy-intercept is -33 and equation in general foorm is 3x-4y-12=03x4y12=0

Explanation:

As xx-intercept of the line is 44, the line passes through (4,0)(4,0). As its slope is 3/434, we can use point slpe form to find the equation and equation is

y-0=3/4(x-4)y0=34(x4)

or 4y=3x-124y=3x12 or 3x-4y-12=03x4y12=0 in general form

or y=3/4x-3y=34x3 in slope intercept form.

Hence, yy-intercept is -33.

graph{3/4x-3 [-10, 10, -5, 5]}