Question

Choose the equation of the vertical line passing through the point (-2,3) with a slope -6

Answer 1

y = -6x -9

Explanation:

`(-2,3) =(x_1,y_1)\\\\Slope=m= -6\\\\`

Substitute values into point slope form

`y -y_1 =m(x-x_1)\\y -3=-6(x - (-2))\\y -3 =-6(x+2)\\y -3 =-6x -12\\y =-6x -12+3\\y =-6x -9`

Answer 2

y=-6x-9

Explanation:

You can write the equation in slope intercept form.

y=mx+b

m is the slope and b is where the line intersects the y axis.

If the slope is -6,

y=-6x+b

We can find b by trying all different options until we get to the line that intersects (-2,3)