Question

Which linear function represents the line given by the point-slope equation y – 8 = (x – 4)?

f(x) = x + 4
f(x) = x + 6
f(x) = x – 10
f(x) = x – 12

Answer 1

In point slope form we are told the equation is y - 8 = (x - 4). To represent it as a function, we solve both sides for y, since y is written as a function of x, f(x).

y - 8 = (x - 4)

y - 8 = x - 4 parentheses are taken away since there's nothing outside

y = x + 4 add 8 to both sides

f(x) = x + 4 to rewrite with y = f(x).

Thus, the function f(x) = x+ 4 (first one) is the right representation.