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Question 238263: Hi, I'm stuck on a math problem and I was wondering if you could help me. I need to find the equation of the line given a point and slope, which would be (-3,8), m=4/9. I've tried blancing method, but I think I'm doing it wrong.
Answer by alicealc(293)   (Show Source):
You can put this solution on YOUR website! to find the line equation if it's given a point and a slope, this formula can be used:
y - y1 = m * (x - x1)
which (x1,y1) is for the point
so, if the line is passing through (-3,8) and has the slope m = 4/9, the equation will be:
y - 8 = 4/9 * (x - (-3))
y - 8 = 4/9 * (x + 3)
y - 8 = 4/9 * x + 4/9 * 3
y - 8 = 4/9 * x + 12/9
then, multiply all by 9:
9y - 72 = 4x + 12
9y - 4x - 72 - 12 = 0
9y - 4x - 84 = 0
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