Question

Hiiiiiioo helpppp pleas I want to undertsand

Answer 1

The function is y=3x+1 because it intercepts the y axis at the number 1 and it is going at a slope ( rise over run ) of 3

Answer 2

The answer is:  [C]:  " y = 3x + 1 " .
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Note:  By looking at the graph, we see that it passed through the point, " (0, 1) " (at the y-intercept).
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Consider choice:  [A]:  "y = 3x" ;  When "x = 0" ; what does "y" equal ?
→  y = 3x = 3(0) = 0 ; → "(0, 0)" is a solution; NOT "(0, 1)" ; so rule out "[A]" .
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Consider choice:  [B]:  "y = 3x − 1" ;  When "x = 0" ; what does "y" equal ?
→  y = 3(0)−1 =0−1 = -1;  → "(0, -1)" is a solution; NOT "(0, 1)" ; so rule out "[B]" .
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Consider choice:  [C]:  "y = 3x + 1" ;  When "x = 0" ; what does "y" equal ?
→  y = 3(0)+1 = 0+1 = 1;   → "(0, -1)" is a solution;  so "choice [C]" is possible.
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Consider choice:  [D]:  "y = 3x² + 1"; When "x = 0" ; what does "y" equal ?
→  y = 3(0²)+1 = 0+1 = 1; → "(0, 1)" is a solution;  so "choice [D]" is possible.
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However;  choice: [D]: is a parabola, not a line; so we determine that the correct answer is:  Choice [C]:  "y = 3x + 1" .
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