Question

−4x−6=−5y+2 Write a formula for G (x) in terms of x

Answer 1

G(x) is function notation.  It's another way to say y = .  When an equation is written in terms of x, that means that x is the variable in the equation, like 3x+5, for example.  If an equation is in terms of t, then an example of an equation in terms of t is 3t + 5.  If the function is g(t), then the whole equation is g(t)=3t+5.  In order to get our equation in terms of x, we need to solve for y.  Subtract 2 from both sides.  -4x - 6 - 2 = -5y.  Combine like terms to simplify the left side.  -4x - 8 = -5y.  Divide both sides by -5 to get the equation solved for y.  $y= \frac{4}{5}x+ \frac{8}{5}$.  In function notation, it's  $g(x)= \frac{4}{5}x+ \frac{8}{5}$.