SOLUTION: write the equation of the line that passes through point (6,-7) with a slope of -2.

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Question 105573: write the equation of the line that passes through point (6,-7) with a slope of -2.
Answer by HyperBrain(694) About Me  (Show Source):
You can put this solution on YOUR website!
let us use the y-intercept form of the line:
y=mx%2Bb
where m=the slope
______b=y-intercept

Since the line passes through (6,-7),we will use x=6 and y=-7.Furthermore, it is given that m=-2.Thus,
-7=-2%2A6%2Bb
-7=-12%2Bb
-12%2Bb=-7
-12%2B12%2Bb=-7%2B12
b=5
Thus, the slope-intercept for, of the equation of the line is
y=-2x%2B5
or, transforming this to the General Equation of the Line,
y=-2x%2B5
y-%28-2x%2B5%29=-2x%2B5-%28-2x%2B5%29
y%2B2x-5=0

GRAPH:
graph%281200%2C1200%2C-50%2C50%2C-50%2C50%2C-2x%2B5%29

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HyperBrain!