Answer:
y = 8x + 15
Step-by-step explanation:
Step 1: Find slope of perpendicular line
<em>Take the negative reciprocal of the 1st equation</em>
m = 8
y = 8x + b
Step 2: Find <em>b</em>
7 = 8(-1) + b
7 = -8 + b
b = 15
Step 3: Rewrite perpendicular equation
y = 8x + 15
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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Answer:
the options are missing, so I looked for a similar question:
- 4 inches by 3 inches
- 3 inches by 1 inch
- 6 inches by 2 inches
the correct options are:
3 inches by 1 inch
6 inches by 2 inches
A scaled copy means that the values of rectangle A are related to the value of rectangle B by a scaling factor. In this case, the scaling factor is 3:1. This means that for every 3 inches in rectangle A, you will have 1 inch in rectangle B.
E.g. imagine that instead of making the rectangle smaller, you would make it larger. Using the same scale 3:1, rectangle B could be 30 inches by 10 inches, or 600 inches by 200 inches.
