--------------------------------------------------------------------------------------------
Identify the slope
--------------------------------------------------------------------------------------------
[tex]y = \frac{5}{2} x + 8[/tex]
[tex]Slope = \frac{5}{2} [/tex]
Parallel lines share the same slope.
--------------------------------------------------------------------------------------------
Insert Slope into the general equation
--------------------------------------------------------------------------------------------
[tex]y = mx+ c[/tex]
[tex]y = \frac{5}{2} x + c[/tex]
--------------------------------------------------------------------------------------------
Find the y-intercept
--------------------------------------------------------------------------------------------
[tex]At\ point \ (-8,0)[/tex]
[tex] y = \frac{5}{2} (-8) + c[/tex]
[tex]0 = -20 + c[/tex]
[tex]c = 20[/tex]
--------------------------------------------------------------------------------------------
Insert the y-intercept into the equation
--------------------------------------------------------------------------------------------
[tex]y = \frac{5}{2} x + c[/tex]
[tex]y = \frac{5}{2} x + 20[/tex]
--------------------------------------------------------------------------------------------
[tex]Answer : y = \frac{5}{2} x + 20[/tex]
--------------------------------------------------------------------------------------------
