Question

write an equation in point slope form that represents a line that passes by (-9,-2) and has a slope of -4

Answer 1

Answer:

$y+2=-4(x+9)$

Step-by-step explanation:

Point-slope form: $y-y_1=m(x-x_1)$

We can write the equation by plugging in the x and y coordinates in the point (-9, -2).

$y-y_1=m(x-x_1)\\y-(-2)=m(x-(-9))$

Two negatives make a positive

$y+2=m(x+9)$

Now, we can plug in the slope, -4, as m.

$y+2=m(x+9)\\y+2=-4(x+9)$

I hope this helps!