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Which equation models a line with positive slope and a positive x-intercept?

a. 5x – 2y = 14
b. –5x – 2y = 14
c. –5x + 2y = 14
d. 5x + 2y = –14

1 Answer

3 votes
Example: 5x - 2y = 14 yields 2y = 5x - 14, or y = 5x/2 - 7 (positive slope 5/2).

Eliminate (b) and (d) immediately, since doing the same thing to these equations results in negative slopes.

Look at (c): 2y - 5x = 14 has a positive slope and a positive y-intercept, so is the correct choice. Check out (a) and explain why it's not correct.
User Zjerry
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