1.
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points (0, 7) and (-5, 0). substitute:
[tex]m=\dfrac{0-7}{-5-0}=\dfrac{-7}{-5}=\dfrac{7}{5}[/tex]
2.
[tex]y-intercept=7[/tex]
3.
The slope-intercept form
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
We have [tex]m=\dfrac{7}{5},\ b=7[/tex]
Substitute:
[tex]y=\dfrac{7}{5}x+7[/tex]
