Answer:
y + 13 = 5(x + 2)
Explanation:
The given equation is in slope- intercept form, that is
y = mx + c ( m is the slope and c the y- intercept )
y = 5x - 3 has slope 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
Using m = 5 and (a, b) = (- 2, - 13), then
y - (- 13) = 5(x - (- 2)), that is
y + 13 = 5(x + 2) ← in point- slope form