SOLUTION: Find an equation in standard form of the line: a. through (2,-2) and (4,4) b. perpendicular to y= x + 5 and through (0,-8)

Algebra ->  Equations -> SOLUTION: Find an equation in standard form of the line: a. through (2,-2) and (4,4) b. perpendicular to y= x + 5 and through (0,-8)      Log On


   

Question 318585: Find an equation in standard form of the line:
a. through (2,-2) and (4,4)
b. perpendicular to y= x + 5 and through (0,-8)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
a) Find the slope.
m=%28y2-y1%29%2F%28x2-x1%29=%284-%28-2%29%29%2F%284-2%29=6%2F2
m=3
Use the slope-intercept form of a line, y=mx%2Bb
Use either point to solve for b.
y=3x%2Bb
4=3%284%29%2Bb
b=4-12
b=-8
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highlight%28y=3x-8%29
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b) Perpendicular line have slopes that are negative reciprocals.
m1%2Am2=-1
m1=1
m2=-1
y=-x%2Bb
Use the point to solve for b.
y=-x%2Bb
-8=-%280%29%2Bb
b=-8
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highlight%28y=-x-8%29
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