Question

Write the equation of the line that passes through (-4, 8) and is perpendicular to 5x - 10y = -12. The equation of the line in slope-intercept form is _____.

Answer 1

Hello there,

Write the equation of the line that passes through (-4, 8) and is perpendicular to 5x - 10y = -12. The equation of the line in slope-intercept form is _____.

Answer: y= -2x

Answer 2

y= -2x

Explanation:

To find the slope, convert the standard form of the equation into slope intercept form, y=mx+b.

5x-10y=-12

-10y=-5x-12

y=1/2 x + 1.2

The slope is 1/2 and the slope of the new line will be -2 because the negative reciprocal create a perpendicular line. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.

(y-8)=-2(x--4)

y-8=-2(x+4)

y-8=-2x -8

y= -2x +0