Question

Write the equation in point-slope form of the line that passes through the given point and has the given slope: (-2, -1); m=-3

Answer 1

y+1=-3(x+2)

Explanation:

point-slope form is the formula y-y1=m(x-x1), where (x1, y1) is a point and m is the slope

we are given a point (-2, -1) and a slope of -3

all we really need to do is substitute the given into the formula

remember: since the formula gives subtraction, we're going to be subtracting, even though we have negative numbers

substitute -2 as x, -1 as y and -3 as m

y--1=-3(x--2)

we can simplify this equation:

y+1=-3(x+2)

Hope this helps!