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What is the slope of a line that is parallel to the line shown on the graph? A-4 B-1/4 C1/4 D4

What is the slope of a line that is parallel to the line shown on the graph? A-4 B-example-1
User Aen
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2 Answers

4 votes
just take any two points from the graph. For example (4, -2) , (0, -3) Slope = (y2-y1) / (x2-x1) = -2-(-3) / 4-0 = 1/4








User Azolo
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7.9k points
5 votes

Answer: The correct option is (C)
(1)/(4).

Step-by-step explanation: We are given to find the slope of a line that is parallel to the line shown on the graph.

We know that the slope of a line passing through the points (a, b) and (c, d) is given by


m=(d-b)/(c-a).

From the graph, we note that

the line passes through the points (0, -3) and (4, -2).

Therefore, the slope of the line on the graph is


m=(-2-(-3))/(4-0)\\\\\\\Rightarrow m=(-2+3)/(4)\\\\\\\Rifhtarrow m=(1)/(4).

Thus, the slope of the line shown on the graph is
(1)/(4).

Option (C) is CORRECT.

User Gene McCulley
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8.4k points
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