Question

Write a linear equation in Slope-Intercept Form that is parallel to a line containing the points: (2,7) and (4,11)

A- y=-2x+9
B- y= 2x-8
C- y=-4x-9
D- y=4x+3

Answer 1

Answer: Choice B

y = 2x-8

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Step-by-step explanation:

Let's find the slope of the line through (2,7) and (4,11).

`(x_1,y_1) = (2,7) \text{ and } (x_2,y_2) = (4,11)\\\\m = (y_(2) - y_(1))/(x_(2) - x_(1))\\\\m = (11 - 7)/(4 - 2)\\\\m = (4)/(2)\\\\m = 2\\\\`

The slope is 2.

Any line parallel to this current line will have the same slope, but different y intercept.

Choice B has the same slope (2), so this is why it's the final answer.