Answer:
The lines are parallel
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - x + 5 is in this form with m = - 1
y = - x - 3 is in this form with m = - 1
Parallel lines have equal slopes
The 2 lines are parallel and never intersect.
Sample Response:
<em>The linear equations have the same slope, so the rate of change for each is the same. As long as the rate of change is the same, the lines will stay the same distance apart and not intersect.</em>
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10 =x
-90 = -100 + x
Add 100 to each side to isolate x
-90+100 = -100+100 + x