Question

Choose the equation below that represents the line passing through the point (-2, -3) with a slope of -6.
a. y = -6x - 15
b. y = -6x - 20
c. y = -6x + 15
d. y = -6x + 20

Answer 1

The equation we'll be using here is:
\[y-y_1=m(x-x_1)\]Where m is the slope of the line, and x_1,y_1 are the coordinates of any point on the line. We have the slope and a point on the line, so you can plug in and solve.

Answer 2

Can you plug choice a into that equation so I can understand how to use it please? I have several of these to do.

Answer 3

vinnv226 I don't understand which numbers to plug in

Answer 4

x1 = -2
y1= -3
m = -6 \[y + 3 = -6(x+2)\] solve for y :)

Answer 5

m always represents the slope of the line. The other variables, x_1 and y_1, are the x and y coordinates of any point on the line, as @hobbs978 showed above

Answer 6

y = -6(x+2-3)
y = -6x -1
but that isn't one of the choices. I'm so confused!

Answer 7

You have to distribute the -6 through the parentheses before you can subtract the 3 over. You can't just subtract 3 from the inside of the parentheses.

Answer 8

so the correct answer is c. y = -6x + 15

Answer 9

so the correct answer is c. y = -6x + 15?

Answer 10

No, thats not correct. Once you distribute the -6 you'll get this:
y+3=-6x -12

Answer 11

shoot!