Question

Write the equation of each line slope of -4 and goes through the point (2,-3)

Answer 1

Start by substituting the slope of $-4$ into slope-intercept form, which is $y=mx+b$, where m is the slope:

$y=-4x+b$

Now, we'll use the given point to find b by substituting for x and y. The given point is (2, -3), so x=2 and y=-3:

$-3=-4(2)+b \newline -3=-8+b$

Now add -8 to both sides to get:

$b=5$

Now, put it all together:

$y=-4x+5$

Answer 2

Your answer would be y=-4x+3