Write an equation of the line that passes through the given point and is parallel to the graph of the given equation.

1 answer:

7 0

Question 1:

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Find Slope
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Equation: y = 5x - 2
Slope = 5
Slope of parallel line = 5

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Insert slope into the general equation y = mx + c
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y = 5x + c

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Find y-intercept
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At point (2, -1)
y = 5x + c
-1 = 5(2) + c
c = -1 - 10
c = -11

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Insert y-intercept into the equation
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y = 5x + c
y = 5x - 11

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Answer: y = 5x - 11
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Question 2:

--------------------------------------------------------------------
Find Slope
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y = 9x
Slope = 9
Slope of the parallel line = 9

--------------------------------------------------------------------
Insert slope into the equation y = mx + c
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y = 9x + c

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Find y-intercept
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y = 9x + c
At point (0, 5)
5 = 9(0) + c
c = 5

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Insert y-intercept into the equation
--------------------------------------------------------------------
y = 9x + c
y = 9x + 5

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Answer: y = 9x + 5
--------------------------------------------------------------------

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