Answer:
D.
Step-by-step explanation:
Let's determine the slopes and y-intercepts for both lines. We can use those in the standard form of a straight line: y = mx + b, where m is the slope and b is the y-intercept (the value of y when x = 0).
Slope is the "Rise/Run," or the change in y for a change in x.
See the attached graph for the calculations.
The y intercepts
A. 3x + 4y = 24
4y = -3x + 24
y = (-3/4)x + 24 [Negative slope. Neither of the graphed lines has a negative slope]
3x + y = −3
B. 3x + 4y = 24
4y = -3x + 24 [Same as above. Negative slope. Neither of the graphed lines has a negative slope]
3x − y = 3
C. 3x − 4y = −24
-4y = -3x - 24
y = (3/4)x + 6 [Matches one of the 2 lines]
3x + y = −3
y = -3x -3 [Negative slope. Does not match]
D. 3x − 4y = −24
-4y = -3x - 24
y = (3/4)x + 6 [Matches one of the 2 lines]
3x − y = 3
-y = -3x + 3
y = 3x - 3 [Matches the second of the 2 lines]
The answer is D
