Mathematics, 04.08.2020 14:01 hcpscyruscm
Andy wrote the equation of a line that has a slope of Step 2: y plus 2 equals StartFraction 3 Over 4 EndFraction x minus StartFraction 9 Over 4 EndFraction. and passes through the point (3, β2) in function notation.
Step 1: y β (β2) = Step 1: y minus left-parenthesis negative 2 right-parenthesis equals StartFraction 3 Over 4 left-parenthesis x minus 3 right-parenthesis. (x β 3)
Step 2: y + 2 = Step 2: y plus 2 equals StartFraction 3 Over 4 EndFraction x minus StartFraction 9 Over 4 EndFraction. x β
Step 3: y + 2 + 2 = Step 2: y plus 2 equals StartFraction 3 Over 4 EndFraction x minus StartFraction 9 Over 4 EndFraction. x β + 2
Step 4: y = Step 2: y plus 2 equals StartFraction 3 Over 4 EndFraction x minus StartFraction 9 Over 4 EndFraction. x β
Step 5: f(x) = Step 2: y plus 2 equals StartFraction 3 Over 4 EndFraction x minus StartFraction 9 Over 4 EndFraction. x β
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.
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Andy wrote the equation of a line that has a slope of Step 2: y plus 2 equals StartFraction 3 Over 4...
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