Question

What is an equation of the line that passes through the point (4,-6) and has a slope of -3 ?

1) y= -3x + 6
2) y= -3x - 6
3) y= -3x + 10
4) y= -3x + 14

Answer 1

(y - yo) = m.(x - xo)

Where yo and xo the coordinates of one point of this line and m the slope.

(y - (-6)) = -3.(x - 4)

y + 6 = -3x + 12

y = -3x + 12 - 6

y = -3x + 6

Answer 2

Hello!

To find our answer, let's plug this point into the equation and find the y-intercept.

-6=-3(4)+b

-6=-12+b

b=6

As you can see, 1 has the y-intercept +6.

Therefore, our answer is
`\boxed {1) y=-3x+6}`

I hope this helps!