Question

Write in equation passing through the point that is parallel to (8,3); y=-1/4x+7

Answer 1

y = -1/4x + 5

Explanation:

Since the lines are parallel, they have the same slope, which is -1/4

Use the point-slope form to do this problem

`y - y_(1) = m(x - x_(1))` Memorize this form. OK?

y - 3 = -1/4(x - 8)

4y - 12 = -1(x - 8) = -x + 8

4y = -x + 20

y = -1/4x + 5

Answer 2

y=-1/4x+5

Explanation:

Use the point-slope form which is y-y1=m(x-x1) where m is the slope. In this case, y is equal to 3, and x is equal to 8, and the slope is equal to -1/4. Therefore, the equation will be equal to y-3=-1/4(x-8). Simplify that to get y-3=-1/4x+2. Simplify this again to get y=-1/4x+5. Therefore, the equation is y=-1/4x+5.