Answer:
[tex]y=8x+29[/tex]
Step-by-step explanation:
Since we know the slope and a point, we can use the point-slope form.
The point-slope form is:
[tex]y-y_1=m(x-x_1)[/tex]
Substitute 8 for m, and let (-4,-3) be x₁ and y₁, respectively. Thus:
[tex]y-(-3)=8(x-(-4))[/tex]
Simplify:
[tex]y+3=8(x+4)[/tex]
Distribute:
[tex]y+3=8x+32[/tex]
Subtract 3 from both sides:
[tex]y=8x+29[/tex]
And we're done!