Find the slope-intercept form of the lines with the following properties. parallel to the line y=3x-2 and passing through the point (1,4).

Hello!

If you want to find an equation that is parallel to another equation, and passing through the point (1, 4), you need to create a new equation with the same slope, you need to substitute the given point into the new equation to find the y-intercept.

m = 3, y = 3x + b (substitute the ordered pair)

4 = 3(1) + b (simplify)

4 = 3 + b (subtract 3 from both sides)

b = 1

Therefore, the line parallel to the line y = 3x - 2 and passing through the point (1, 4) is y = 3x + 1.

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