Answer:
The line of the equation is:
[tex]y-7=5\left(x+8\right)[/tex]
Step-by-step explanation:
Given
As the point-slope form is given by
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope
substituting the values m=5 and the point (-8, 7)
[tex]y-7=5\left(x-\left(-8\right)\right)[/tex]
[tex]\mathrm{Apply\:rule}\:-\left(-a\right)=a[/tex]
[tex]y-7=5\left(x+8\right)[/tex]
Therefore, the line of the equation is:
[tex]y-7=5\left(x+8\right)[/tex]
