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why.math
Write the equation of the line that is parallel to the line 4x − 3y = −12 and passes through the point (−3, 4).
rewrite the line in slope intercept form y=(4/3)x+4 so the slope is a 4/3 and so will the slope of the line that will be parallel.
The given point is (-3,4) so we use the slope formula again: 4 y-4 --- = ----- 3 x-(-3) 4x+12=3y-12 3y=4x + 24 y=(4/3)(x)+8
that is the equation for the parallel line, parallel to4x-3y=-12 and passes through (-3,4)