Answer:
The equation for the line t, y + 8 = 12(x + 7) written in slope intercept form is
y = 12x + 76
The equation of our new parallel line u in slope intercept form is
y = 12x - 86
Step-by-step explanation:
[tex]y = mx + b[/tex]
[tex]y + 8 = 12(x + 7) \\ y + 8 = 12x + 84\\ y = 12x + 76[/tex]
substitute in the point (8, 10) to find the new y-intercept
[tex]y - mx = b \\ 10 - 12(8) = b \\ 10 - 96 = b \\ b = - 86[/tex]
remember parallel line will have the same slope 12x
[tex]y = 12x - 86[/tex]
