Question

The equation for line t can be written as y+8=12(x+7). Line u includes the point (8,10) and is parallel to line t. What is the equation of line u?Write the equation in slope-intercept form.

Answer 1

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:

$y = mx + b$

$y + 8 = 12(x + 7) \\ y + 8 = 12x + 84\\ y = 12x + 76$

substitute in the point (8, 10) to find the new y-intercept

$y - mx = b \\ 10 - 12(8) = b \\ 10 - 96 = b \\ b = - 86$

remember parallel line will have the same slope 12x

$y = 12x - 86$