Question

Write the equation of a line parallel to and passes through the given line’s x-intercept. Leave answer

in slope-intercept form

Answer 1

y = 1/2x - 4

Explanation:

The x-intercept is when y = 0, so it would be:

-x + 2 * 0 = 4

-x = 4

x = -4

That means the x-intercept is (0, -4)

The parallel line would have the same slope as this one, so:

`-x+2y = 4\\2y = x + 4\\y = 1/2x + 2`

The parallel line has a slope of 1/2

So now you need to find the equation of a line that has a slope of 1/2 and passes through the point (0, -4)

Put it in point slope form:

y - (-4) = 1/2(x - 0)

y + 4 = 1/2x

y = 1/2x - 4