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What is the slope of a line PARALLEL to the graph?

A) -3
B) 0
C) 3
D) - 1/3

What is the slope of a line PARALLEL to the graph? A) -3 B) 0 C) 3 D) - 1/3-example-1

1 Answer

4 votes

Answer: C

Explanation:

The given graph is a straight line graph.

Slope of a straight line graph is expressed as

Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis

change in the value of y = y2 - y1

Change in value of x = x2 -x1

y2 = final value of y

y 1 = initial value of y

x2 = final value of x

x1 = initial value of x

From the graph,

y2 = 4

y1 = 1

x2 = 2

x1 = 1

Slope = (4 - 1)/(2-1) = 3/1 = 3

If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line parallel to the graph is 3

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