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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Explanation:

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

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

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.