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Which line is a graph of the equation: 2x + 5y = -10?

A line a
B line b
C line c
D line d

Which line is a graph of the equation: 2x + 5y = -10? A line a B line b C line c D-example-1

1 Answer

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Answer: D. line d

Explanation:

Answer: D. line d

A function is general describe as y = mx + b, so we need to set this function in y form.

2x + 5y = -10

5y = - 2x - 10 (Subtract 2x from both side, to make sure there are only y value in the left side)

y = - 2/5x -10/5 (Divide by 5 from both side)

y = -2/5x - 2 (Simplified)

-2/5x was the m or the slope, it shows how the line was change. -2/5x is negegative, which means is decreasing, and going downward, only line b and d fits.

-2 is the y-intercept, where y is equal to 0, (-2,0)

The y-intercept for line b is (2,0), so it can't be. Thus, the y-intercept for line d is (-2,0), so it fit.

User Jagzviruz
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