Question

Consider the equation 8x - 2y= 24. Select True or False for each statement.

Answer 1

8y - 2y = 24

a)

The x intercept is when y = 0; if we use the equation when y = 0:

8x - 2(0) = 24 ==> 8x = 24 ==> x = 24/8 ==> x = 3

So the fist answer is TRUE

b)

The y intercept is when x = 0; if we use the equation with x = 0:

8(0) - 2y = 24 ==> -2y = 24 ==> y = 24/(-2) ==> y = -12

So the second answer is FALSE

c)

if we take the equation and solve it for y:

8x - 2y = 24 ==> 8x - 24 = 2y ==> (8x - 24)/2 = y ==> 4x - 12 = y ==> y = 4x -12

So the third answer is TRUE