Answer:
[tex]\huge\boxed{y-8 = 5(x+1)}[/tex]
Step-by-step explanation:
An equation in point-slope form will be written in the form [tex]y - y_1 = m(x - x_1)[/tex], where a point on the graph is (x1, y1) and the slope is m.
For this equation, all we need to do is substitute the values already given to us, since we know everything needed to write an equation here. All we need is the slope, and one x/y value that's on the graph.
We know the slope is 5, and one point on the graph is (-1, 8), so we can substitute inside the equation.
- [tex]y - y_1 = m(x - x_1)[/tex]
- [tex]y - 8 = 5(x - (-1))[/tex]
- [tex]y-8=5(x+1)[/tex]
Therefore, our equation for this line in point-slope form is [tex]y-8=5(x+1)[/tex].
Hope this helped!
