Question

Which of the following points would fall on the line produced by the point-slope form equation y-3= 5(x + 3) when graphed?

O(-3, 3)
O(-1, 14)
O(-2,-8)
O(1.13)

Answer 1

First, solve the given equation:

y-3 = 5(x+3) Original equation
y-3 = 5x+15 Distributed the parenthesis
y = 5x+15+3 Isolated y by grouping like-terms
y = 5x+18 Final equation in slope-intercept form

Then, you’d plug in the sets of coordinates. The first is (-3,3). X is -3 and Y is 3 because coordinates are written in (x,y) format.

(3) = 5(-3)+18

3 = -15+18

3 = 3

Since the first coordinates (-3,3) are correct, there is no need to try the other equations.