Answer:
a = 6
Step-by-step explanation:
Perpendicular lines have slope that are negative reciprocal of each other. There product = -1
Solve both equations for y.
3y - ax = 8 4x + 8y = 2
3y = ax + 8 8y = -4x + 2
y = ax/3 + 8/3 y = -4x/8 + 2/8
y = a/3(x) + 8/3 y = -1/2(x) + 1/4
Now you know that the slope of y = -1/2(x)+ 1/4 is -1/2
and the slope of y = a/3(x) + 8/3 is a/3.
Looking for the value of "a" that will make the lines perpendicular.
You know that one line slope is -1/2 so the other line slope is 2 because the slope are negative reciprocal. Also remember that the slope is the coefficient of the x term.
Now a/3 = 2 ; a = 6
