Question

Write the equation of the line, given the y and x-intercepts. x-intercept = –6, y-intercept = –8

Answer 1

The slope-intercept form of a line: y = mx + b

m - slope, b - y-intercept

We have:

y-intercept = -8. Substitute:

y = mx - 8

x-intercept = -6 for y = 0. Substitute:

0 = m(-6) - 8

0 = -6m - 8      |+6m

6m = -8    |:6

m = - 8/6

m = - 4/3

Answer; y = - 4/3 x - 8