what is the slope intercept form of the equation of the line parallel to y=-4/3x+11 that passes through the point (-6,2)

y = -4/3 x -6

Explanation:

Recall that a parallel line to the one given has to have the same slope. The slope of the line given is "-4/3" (the coefficient that accompanies "x").

Therefore the equation of a parallel line has to be of the form:

y = -4/3 x + b

2 = -4/3 (-6) + b

2 = 24/3 +b

2 = 8 + b

b = 2 - 8

b = -6

So the entire equation now becomes:

y = -4/3 x -6

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