Question

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Given the following system of equations and its graph below, what can be determined about the slopes and y-intercepts of the system of equations?

5x + 2y = 2
3x − 3y = 18

The slopes are the same, and the y-intercepts are the same.
The slopes are the same, and the y-intercepts are different.
The slopes are different, and the y-intercepts are the same.
The slopes are different, and the y-intercepts are different.

Answer 1

Answer:

option 4

Step-by-step explanation:

$5x + 2y = 2\\2y = -5x + 2\\y = -\frac{5}{2}x + 1\\\\Slope = -\frac{5}{2}, \ y - intercept = 1$

$3x - 3y = 18\\3y = 3x - 18\\y = x - 6\\\\Slope = 1, \ y - intercept = -6$