Ok so the formula for point-slope is:
[tex]y - y 1 = m(x - x1)[/tex]
m=slope
y1 = y point that's given
x1 = x point that's given
The problem says "use the point (-1,-4)"
so we will put it into our equation.
(-1,-4)
-1 is our x, and -4 is our y, now we can put it into the equation.
[tex]y - ( - 4) = m(x - (- 1))[/tex]
Now we need to find the slope using:
[tex] \frac{y2 - y1}{x2 - x1} [/tex]
y2=4
x2=3
y1=-4
x1=-1
[tex] \frac{4 - ( - 4)}{3 - ( - 1)} = \frac{8}{4} \: or \: 2[/tex]m=2
So the answer is..
[tex]y - ( - 4) = 2(x - ( - 1))[/tex]
