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.