Andy wrote the equation of a line that has a slope of StartFraction 3 Over 4 EndFraction and passes through the point (3, –2) in
function notation. Step 1: y – (–2) = Step 1: y minus left-parenthesis negative 2 right-parenthesis equals StartFraction 3 Over 4 left-parenthesis x minus 3 right-parenthesis. (x – 3) Step 2: y + 2 = Step 2: y plus 2 equals StartFraction 3 Over 4 EndFraction x minus StartFraction 9 Over 4 EndFraction.x – Step 3: y + 2 + 2 = Step 3: y plus 2 plus 2 equals StartFraction 3 Over 4 x minus StartFraction 9 Over 4 EndFraction plus 2.x – + 2 Step 4: y = Step 4: y equals StartFraction 3 Over 4 EndFraction x minus StartFraction one-fourth.x – Step 5: f(x) = Step 5: f(x) equals StartFraction 3 Over 4 EndFraction x minus StartFraction one-fourth. x – Analyze each step to identify if Andy made an error. Yes, he made an error in Step 1. He switched the x and y values. Yes, he made an error in Step 2. He did not distribute StartFraction 3 Over 4 EndFraction properly. Yes, he made an error in Step 3. He should have subtracted 2 from both sides. No, his work is correct.
