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Parallel lines should have the same slope. Therefore, you know which point it passes through and the slope. Plug in the points and slop into slope-intercept form to find b. Please refer to the picture.
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The equation of the line that is parallel to y = 3x - 4 and passes through point (3, 2) is: y = 3x - 7

What is the Equation of Parallel Lines?

The slope of two lines that are parallel to each other are the same, and their equation is expressed as y = mx + b, where m is the slope and b is the y-intercept.

The slope of y = 3x - 4 is 3.

Substitute m = 3 and (3, 2) = (a, b) into y - b = m(x - a):

y - 2 = 3(x - 3)

y - 2 = 3x - 9

y = 3x - 9 + 2

y = 3x - 7

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