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Sagot :
Answer:
y = x + 3
y = -x + 11
Step-by-step explanation:
When the slopes are parallel they are the same. When slopes are negative, the slope is the negative reciprocal.
Parallel: The slope is 1. This is the coefficient of the x in the equation given. If you do not see a number before the x like in y = x + 1, then number is 1.
Use this form:
y =mx + b Us the slope of 1 to put in for m. Use 4 for x and 7 for y
7 =(1)4 + b Solve for b.
7 = 4 + b Subtract 4 from both sides.
3 = b
The equation for the parallel line is
y = x + 3.
Perpendicular:
y = mx + b This time the slope is -1 Still use 4 for x and 7 for y
7 = (-1)4 + b
7 =-4 + b add 4 to both sides
11 = b
The equation would be y = -x + 11
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