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Determine the equation of the line that is parallel to the given
line, through the given point.
y = 3x - 4; (2, -3)

2 Answers

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Step-by-step explanation:

Since it's parallel the slope has to be the same. The intercept is found by inserting the x and y into the new equation:



Subtract 6 from both sides.


This gives all parts to the answer,


You could also check your work by graphing the point and using the slope of 3x until you get to the y-intercept.
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y = 3x - 3


y = 3x - 4

through (2, 3)

To Find:

equation of the line parallel to y = 3x - 4 through the given point (2, -3)

Step-by-step explanation:

y = mx + b

The line is parallel, so the slope is the same

y = 3x + b

Plug in the x and y values of your point

-3 = 3(2) + b

Solve for 'b'

-3 = 6 + b

0 = b + 3

b = -3

Your final equation is,

y = 3x - 3
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