Question

9. Determine if the lines are parallel, perpendicular or neither: y = -3/4x + 5 and 3x + 4y = -24
A. parallel
B. perpendicular
C. neither

Answer 1

Parallel lines have the same slope. The slope-intercept form of the equation of a line is y = mx + b, where m = slope, and b = y-intercept.
If you write both equations in this form, it will be easy to see if their slopes are the same.
The first equation, y = -(3/4)x + 5, is already in y = mx + b form. Its slope is -3/4.
Solve the second equatiuon for y, and see what m is equal to.
3x + 4y = 24
Subtract 3x from both sides:
4y = -3x + 24
Divide both sides by 4:
y = -(3/4)x + 6
The slope of the second line is also -3/4. In addition, the y-intercepts are different, so you have two parallel lines.

Answer 2

thanks

Answer 3

wlcm