Are the lines y=7x+15 and y=7x+4 perpendicular, parallel, and explain.
1 answer:
Answer:
The lines would be parallel because their slopes are the same and their y-intercepts are different.
Step-by-step explanation:
First, start with the two equations:
y = 7x + 15
y = 7x + 4
So for lines to be parallel, they must have the same slope. For lines to be perpendicular, one of the lines must be the negative reciprocal of the other. In other words, it should be the opposite sign (+ or -) and the reciprocal (flip the numerator and denominator.
In this case, the lines are in slope-intercept form:
y = mx + b
so the slope is already given.
Slope of line 1 = 7x
Slope of line 2 = 7x
Because these lines have the same slope but different y-intercepts, they would be parallel to each other. You can check this by graphing it.
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