SOLUTION: Find the equation in slope intercept form of the line given slope that passes through the point with the given coordinates, slope -4/3 ordered pair (-4,-2)

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Question 762321: Find the equation in slope intercept form of the line given slope that passes through the point with the given coordinates, slope -4/3 ordered pair (-4,-2)
Answer by Stitch(470) About Me  (Show Source):
You can put this solution on YOUR website!
The equation of a line is Y = mX + B.
Where m is the slope and B is the Y-intercept.
Given m = -4/3 and the point (-4,-2).
When X = -4, then Y = -2.
Plug these values into the equation of a line and solve for B.
Y = mX + B
-2+=+%28-4%2F3%29%2A%28-4%29+%2B+B
Simplify.
-2+=+%2816%2F3%29+%2B+B
Convert -2 to thirds by multiplying it by 3/3.
-2 * 3/3 = -6/3
-6%2F3+=+16%2F3+%2B+B
Subtract 16/3 from both sides.
highlight%28-22%2F3+=+B%29
So the equation of the line is Y+=+%28-4%2F3%29X+-+22%2F3