SOLUTION: Write an equation of line passing through the given points (4,-26) and (-4,6)

Algebra ->  Equations -> SOLUTION: Write an equation of line passing through the given points (4,-26) and (-4,6)      Log On


   

Question 184092: Write an equation of line passing through the given points

(4,-26) and (-4,6)
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

We use Point-Slope Formsystem%28m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29%29 to get the slope=m---->(4,-26) and (-4,6)
wheresystem%28y%5B2%5D=6%2Cy%5B1%5D=-26%2Cx%5B2%5D=-4%2Cx%5B1%5D=4%29
continuing,
m=%286-%28-26%29%29%2F%28-4-4%29=%286%2B26%29%2F%28-8%29=32%2F-8=-4,Slope
In point (4,-26) we use Slope-Intercept Formsystem%28y=mx%2Bb%29 to get Y-Intercept,b:
-26=-4%284%29%2Bb
b=-26%2B16=-10, Y-Intercept
Therefore, point (4,-26) follows eqn: highlight%28y=-4x-10%29 or highlight%28y%2B4x=-10%29, Std Form
.
Thru point (-4,6):
6=-4%28-4%29%2Bb
b=6-16=-10, the same (should be)
We'll see the graph:

Thank you,
Jojo