Question

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

Answer 1

Answer: $y = -3x + 6$

Step-by-step explanation:

In order to find the equation of a line when one point and a slope is given , we will use the formula:

$y-y_{1}=m(x-x_{1})$

where m is the slope.

m = $-3$

$x_{1}=4$

$y_{1}=-6$

substituting into the formula , we have :

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

$y+6 = -3x +12$

subtract 6 from both sides

$y = -3x + 12 - 6$

$y = -3x + 6$