Respuesta :
Answer:
[see below]
Step-by-step explanation:
General Point Slope Form is:
[tex]y-y_1=m(x-x_1)\\\\\rightarrow \text{m - slope}\\\\\rightarrow (x_1,y_1)\text{ - given point}[/tex]
We are given the slope of (5/4) and the point of (8, -2).
Replace the variables with their appropriate values:
[tex]x_1 \rightarrow8\\\\y_1\rightarrow-2\\\\m\rightarrow\frac{5}{4}\\\\\text{Replace } x_1, y_1, \text{and } m \text{ with the appropriate values.}\\\\y-y_1=m(x-x_1)\rightarrow y-(-2)=\frac{5}{4}(x-8)\\\\\text{Simplify:}\\\\y-(-2)=\frac{5}{4}(x-8)\rightarrow y+2=\frac{5}{4}(x-8)\\\\\\\text{Our final answer is:}\\\\ \huge\boxed{y+2=\frac{5}{4}(x-8)}[/tex]
Hope this helps.
