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

@jim_thompson5910

Answer 2

The general slope intercept form is y = mx+b

the m is the slope (think "m" for mountain, mountains have slopes)

since the slope is -3, we know that m = -3

so the equation is in the form y = -3x + b

Answer 3

the line passes through (2,-5)

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


y = -3x + b
y = -3*2 + b ... replace x with 2
y = -6 + b
-5 = -6 + b ... replace y with -5

now solve for b

Answer 4

now how would I do that, I don't quite get how to solve for b.

Answer 5

think of -6+b as b-6

Answer 6

-5 = b-6

try to move that -6 over to isolate b

Answer 7

have b by itself.. what do you need to do to make this happen?

Answer 8

subtract -6 from the sides?

Answer 9

close

Answer 10

oh nvm, I was thinking of something else

yeah you are correct

Answer 11

subtracting -6 from both sides is the same as adding 6 to both sides