Question

How do you solve for x and y-intercepts algebraically using slope-intercept and standard form?

Answer 1

eg. Find the equation of the straight line that has slope m = 4
and passes through the point (–1, –6).

using this equation we then solve y = mx + b
(–6) = (4)(–1) + b
–6 = –4 + b
–2 = b

Then the line equation must be y = 4x – 2

Answer 2

Regardless of the form,
set x = 0 to get y-intercept and
set y = 0 to get x-intercept