Answer:
The slope-intercept form of line that passes through the point (-2,8) and has a slope of 5/2 is
[tex]y=\frac{5}{2}x + 13[/tex]
Step-by-step explanation:
Equation of line in point-slope form is
[tex]y-y_1=m(x-x_1)[/tex] ---------- (1)
Here
[tex]m=\frac{5}{2} \ \ \ and \ \ \ (x_1, y_1) = (-2, 8)[/tex]
Substituting values in equation (1)
[tex]y-8=\frac{5}{2} (x + 2)[/tex]
Simplifying it further
[tex]y=\frac{5}{2}x + \frac{5}{2}2 +8[/tex]
[tex]y=\frac{5}{2}x + 5 +8[/tex]
[tex]y=\frac{5}{2}x + 13[/tex]
This is equation in slope-intercept form
