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

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

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!