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Line h is graphed on a coordinate plane. The equation y = -\frac{5}{2}x + 3 describes line h. Line j...

Line h is graphed on a coordinate plane. The equation y = -\frac{5}{2}x + 3 describes line h. Line j contains the point (0, 2) and is parallel to line h. Which equation describes line j?
A. y = -\frac{5}{2}x - 2
B. y = \frac{2}{5}x - 2
C. y = \frac{2}{5}x + 2
D. y = -\frac{5}{2}x + 2

Answer

D. y = -\frac{5}{2}x + 2

Since line j is parallel to line h, it will have the same slope of -\frac{5}{2}. The equation of line j should pass through the point (0, 2), which means when x = 0, y = 2. Therefore, the equation that satisfies these conditions is y = -\frac{5}{2}x + 2.

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