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tester [92]
3 years ago
14

Identify the equation of a line in slope-intercept form that is parallel to y = 2.5x + 5 and passes through (2, 3).

Mathematics
1 answer:
ser-zykov [4K]3 years ago
8 0

Answer:

The answer to your question is:    y = 2.5x - 2

The first option is correct

Step-by-step explanation:

Data

Parallel to y = 2.5x + 5

Passes (2, 3)

Process

If the lines are parallel, they have the same slope.

slope = 2.5

                     (y - y1) = m (x - x1)

                     ( y - 3) = 2.5 (x - 2)

                     y - 3 = 2.5x - 5

                     y = 2.5x - 5 + 3

                   y = 2.5x - 2

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GRAPH A

Graph A does have a y-intercept of two. This means that the line crosses the y-axis at two units up from the origin. However, it has a negative slope because it is going downwards rather than upwards. The slope of our function is positive, so Graph A does not match.

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GRAPH B

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GRAPH D

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