Question

Write the equation of the line perpendicular to -2x+4y=8 that passes through (-3,1). Write you answer in slope-intercept form. Show your work! (3 Points)

Answer 1

The Answer is: y - 1 = -2(x + 3)

Explanation:

Take the given equation and convert it to the y intercept form:

-2x + 4y = 8

4y = 2x + 8

y = 1/4(2x) + 8(1/4)

y = 1/2x + 2

So the slope of the given line is 1/2. The slope of a perpendicular line is the negative reciprocal, which would be -2.

Use the point slope equation above to create a y intercept form of the equation using the given point, (-3, 1).

y − y1 = m(x − x1)

y - 1 = -2(x + 3)

You can go on and create the y intercept form:

y - 1 = -2x - 6

y = 2x - 5