Question

The slope-intercept form of the equation of a line that passesthrough(-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:

given y = 5x - 3 ⇒ m = 5

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

here m = 5 and (a, b) = (- 2, - 13), hence

y + 13 = 5(x + 2) ← in point- slope form