consider the line -8x-4y=-7. what is the slope of a line perpendicular to this line? what is the slope of a line parallel to this line? slope of a perpendicular line:slope of a parallel line:
Write your equation in Slope-intercept form:
y = m x + b
where
m = the slope of the line
b = the y-value of the line's y-intercept
Your line is
- 8 x - 4 y = - 7
Add 8 x to both sides
- 4 y = 8 x - 7
Divide both sides by - 4
y = - 2 x + 7 / 4
Slope:
m = - 2
Parallel lines have the same slope.
Perpendicular lines have the negative reciprocal of the slope.
So, the slope of a line parallel to
your line is m = - 2
The slope of a line perpendicular to your line is
m = - 1 / - 2 = 1 / 2