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The equation for line w is y = 2x - 3. Line d contains the point (4, -1) and is parallel to line w. Which...

The equation for line w is y = 2x - 3. Line d contains the point (4, -1) and is parallel to line w. Which equation describes line d?
A. y = -1/2x + 3
B. y = -1/2x + 1
C. y = 2x - 7
D. y = 2x - 9

Answer

Answer: Since line d is parallel to line w, it must have the same slope. The slope of line w is 2. Therefore, line d must also have a slope of 2. We use the point (4, -1) to find the y-intercept of line d.

Using the point-slope form: y - y1 = m(x - x1)

y + 1 = 2(x - 4)

y + 1 = 2x - 8

y = 2x - 9

Thus, the equation that describes line d is D. y = 2x - 9.

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