SOLUTION: Suppose a line goes through the point (-2,4) and is parallel to the line passing through the points (-4,1) and (4,-3). Write the equation of the line. Determine the intercepts of t

Question 790635: Suppose a line goes through the point (-2,4) and is parallel to the line passing through the points (-4,1) and (4,-3). Write the equation of the line. Determine the intercepts of the line and sketch the graph.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Suppose a line goes through the point (-2,4) and is parallel to the line passing through the points (-4,1) and (4,-3). Write the equation of the line. Determine the intercepts of the line and sketch the graph.
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Equation of a line: y=mx+b, m=slope, b=y-intercept
For given problem:
slope,m=∆y/∆x=(y1-y2)/(x1-x2)=(-3-1)/4-(-4))=-4/8=-1/2
Equation: y=-x/2+b
solve for b using coordinates of given point (-2,4)
4=-(-2)/2+b
4=2/2+b
b=3
equation:
y=-x/2+3
y-intercept=b=3
..
x-intercept:
set y=0
-x/2+3=0
-x/2=-3
x=6

see graph below:

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