through: (4, -2), parallel to y = - 3/4x - 4

  y = -3/4x +1

Step-by-step explanation:

Parallel lines have the same slope, so the slope of the line you want is -3/4. The point-slope form of the equation of a line is useful when you have this information:

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y -(-2) = -3/4(x -4)

If you want slope-intercept form, you can rearrange this ...

  y +2 = -3/4x +3

  y = -3/4x +1 . . . . . . subtract 2 from both sides

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step-by-step explanation: