Question

Write an equation for the line in the given form.

slope is 6 and (−4, 1) is on the line; point-slope form

Answer 1

y -1 = 6(x +4)

Explanation:

The point-slope form of the equation for a line is ...

y -k = m(x -h)

for a line with slope m through point (h, k). You have m=6, (h, k) = (-4, 1), so your equation is ...

y -1 = 6(x -(-4))

This simplifies to ...

y -1 = 6(x +4)