The equation of line -3y+4x=9. Write the equation of a line that is parallel to line l and passes thorugh the point (-12, 6)

Question

The equation of line -3y+4x=9. Write the equation of a line that is parallel to line l and passes thorugh the point (-12, 6)

Answer 1

Hi Gloria, for a line to be parallel with another line, their slopes must be the same. Here, the slope is 4/3 (slope in standard for is -A/B.)

Using the point slope equation, you can find the parallel line.

y - y₁ = m * (x - x₁)

Substitute for y₁, 6, x₁, 12, and m, 4/3, gives:

y - 6 = 4/3 * (x + 12)

y - 6 = 4/3 * x + 16

y = 4/3 * x + 22, line that is parallel to the given line.

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