Question

Choose the equation below that represents the line passing through the point (2, -5) with a slope of -3.

y = -3x - 13
y = -3x + 11
y = -3x + 13
y = -3x + 1

Answer 1

they all have a slope of -3, so let's focus on the point (2,-5)

Answer 2

the line must go through (2,-5), so if you plug it into the correct equation, you'll get a true result

Answer 3

for instance, in choice A

y = -3x - 13

-5 = -3(2) - 13 ... plug in (2, -5)

-5 = -6 - 13

-5 = -19

which is FALSE, so (2,-5) is NOT on the line y = -3x - 13

Answer 4

so that rules out choice A

Answer 5

see how that all works?