SOLUTION: Find the equations of the lines that pass through the points given. 1. (-1,2)(-4,0) 2. (3,1)+(-2,11)

Algebra ->  Linear-equations -> SOLUTION: Find the equations of the lines that pass through the points given. 1. (-1,2)(-4,0) 2. (3,1)+(-2,11)      Log On


   

Question 358100: Find the equations of the lines that pass through the points given.
1. (-1,2)(-4,0)
2. (3,1)+(-2,11)
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
Y=mX+b IS THE LINEAR EQUATION.
m=slope=(Y2-Y1)/(X2-X1)
b=the Y intercept.
1. (-1,2)(-4,0)
m=(0-2)/(-4+1)
m=-2/-3=2/3 ans. for the slope.
2=2/3*-1+b
2=-2/3+b
b=2+2/3
b=6/3+2/3=8/3 ans. for the Y intercept.
Y=2X/3+8/3 (red line)
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2. (3,1)+(-2,11)
m=(11-1)/(-2-3)
m=10/-5=-2 ans. for the slope.
1=3*-2+b
1=-6+b
b=1+6
b=7 ans/ for the Y intercept.
Y=-2X+7 (green line)
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+2x%2F3+%2B8%2F3%2C+-2x+%2B7%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions 2x/3 +8/3 and -2x +7).