how do I figure the line perpendicular to x-4y=-28 that passes through (-8, 3)

Answer 1

1) Determine the slope of x - 4y = -28

2) Determine the negative reciprocal of the slope from 1)

3) Use the given point point, the slope from 2 and the slope-intercept form to determine the equation.

Answer 2

The formula for the line is given in Standard Format [Ax+By=C]: x - 4y = -28

The slope is: (-A/B) = (-1)/(-4) = 1/4.

Perpendicular lines have a slope that is the negative reciprocal. That is, (-4). We have 4x+y = C.

To find C, 4(-8)+3 = -32+3 = -29

The equation is: 4x + y = -29 [in Standard Format]