Question

Write the equation of a line this is parallel to y=0.5x-4 and that passes through the point (9,-6).

Answer 1

`y=0.5x-10.5`

Explanation:

Parallel lines have the same slope, so the slope of the line we need to find is 0.5.

Substituting into point-slope form and converting to slope-intercept form,

`y+6=0.5(x-9) \\ \\ y+6=0.5x-4.5 \\ \\ y=0.5x-10.5`