Question

Find the equation of the lines in point-slope form with the

following properties.
slope = -5 and passes through (4, -1).

Answer 1

y +1 = -5(x -4)

Explanation:

You want the point-slope equation of the line with slope -5 through point (4, -1).

Point-slope equation

The point-slope equation of a line has the form ...

y -k = m(x -h) . . . . . . . line with slope m through point (h, k)

Application

Substituting m=-5 and (h, k) = (4, -1), the equation is ...

y -(-1) = -5(x -4) . . . . . . values substituted

y +1 = -5(x -4) . . . . . . . simplified a bit