Question

Is this a linear function? y-8= -8(x-2)

Answer 1

Yes

Explanation:

y-8= -8(x-2) ==> solve for y

y = -8(x - 2) + 8 ==> add 8 on both sides to isolate y

y = (-8 * x - 2(-8)) + 8 ==> distribute -8 to x and -2 using the distribution

property

y = (-8x - (-16)) + 8 ==> simplify

y = (-8x + 16) + 8 ==> subtracting by a negative number is equivalent to

adding by a positive number.

y = -8x + 16 + 8

y = -8x + 24 ==> Degree of x in the equation is 1, so the function is linear