Question

The slope-intercept form of the equation of a line that passes through point (-2, -13) is y = 5x - 3. What is the point-slope

form of the equation for this line?

Answer 1

y + 13 = 5(x + 2)

Explanation:

1) Find m(the slope of the equation):

Since the slope-intercept form is already given, then you can obtain the slope from it by using y = mx + b

m=5

2) Substitute the given point into the point-slope form y - y1 = m(x - x1)

y-(-13) = 5(x - (-2))

y + 13 = 5(x + 2)