Question

Which equation represents a line that passes through (-9,-3) and slope of -6

Answer 1

y=-6x-57 (this answer is in slope-intercept form)

I don't know what your choices are and if you can select multiple answers or not.

Explanation:

y=mx+b is an equation for a line with slope m and y-intercept b.

We are given m=-6 so we will plug this in giving us: y=-6x+b.

Now we need to find b, the y-intercept. Let's use a point (x,y) we know is on the line of y=-6x+b to find b.

We know (x,y)=(-9,-3) is on that line. So our line should satisfy this point. We must pick a b so that happens. Plug (x,y)=(-9,-3) into the equation now.

-3=-6(-9)+b

-3=54+b

-3-54=b

-57=b

So the equation is y=-6x-57

Answer 2

y + 3 = -6(x + 9) or y = -6x - 57

Explanation:

We can use the point-slope form for this situation.

Point-slope form: y - y₁ = m(x - x₁), where m = slope and (x₁, y₁) are given coordinates.

Plug in: y + 3 = -6(x + 9)

This can be changed to the more common slope-intercept form.

Multiply: y + 3 = -6x - 54

Subtract: y = -6x -57