Answer:
y=-3/2x-2
Step-by-step explanation:
first, we must calculate the slope (m) using the equation (y2-y1)/(x2-x1)
here are the given points: (0,-2) and (-4,4)
we can label the points:
x1=0
y1=-2
x2=-4
y2=4
now substitute into the equation:
m=(4--2)/(-4-0)
m=(4+2)/-4
m=6/-4
m=3/-2
m=-3/2
the slope of the line is -3/2
now use the point-slope form, which is y-y1=m(x-x1)
substitute the given numbers into the equation
y--2=-3/2(x-0)
do distributive prop.
y+2=-3/2x
subtract 2 from both sides
y=-3/2x-2
