Question

A line has a slope of -4 and passes through the point (2,-5) which is the equation of the line

Answer 1

We will be using the Point Slope formula which is $y-y_{1} =m(x-x_{1} )$

The information we are given is that m = -4 and the point is (2,-5), so we can input it into the equation.

$y- (-5) = -4(x-2)$

This simplifies into $y+5 = -4x +8$

Then we can subtract 5 from each side to get the answer:

$y = 4x+3$