Question

Write the equation of the line that passes through point (-10, -5) and is parallel to the line represented by the equation y = -2x + 7.

Answer 1

y + 5 = -2(x + 10)

Explanation:

To make the line parallel, we need the same slope as the line. Because it is in slope-intercept form, we know that the slope, or
`m`, equals -2.

Also, because we have the point that it passes through, we have enough information to put the values into point-slope form, which is:

`y-y_(1)=m(x-x_(1))`

y + 5 = -2(x + 10)

The reason I made the subtraction signs to addition signs is because a negative times a negative equals a positive.