SOLUTION: Please help find an equation of the line that satisfies the given condition.... a.) Through (-1,-2) and (4,3) b.) Through (-3,-5) slope -7/2

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Please help find an equation of the line that satisfies the given condition.... a.) Through (-1,-2) and (4,3) b.) Through (-3,-5) slope -7/2       Log On


   

Question 358529: Please help find an equation of the line that satisfies the given condition....
a.) Through (-1,-2) and (4,3)
b.) Through (-3,-5) slope -7/2
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
Y=mX+b where m=slope & b=the Y intercept.
a.) Through (-1,-2) and (4,3)
m=(Y2-Y1)/(X2-X1)
m=(3+2)/(4-3)=5/1=5 ans.
-2=5*-1+b
-2=-5+b
b=-2+5
b=3 ans. for the Y intercept.
Y=5x+3 (red line)
b.) Through (-3,-5) slope -7/2
-5=-7/2*-3+b
-5=21/2+b
b=-5-21/2
b=-10/2-21/2=-31/2 the Y intercept.
Y=-7x/2-31/2 (green line).
+graph%28+300%2C+200%2C+-6%2C+5%2C+-18%2C+10%2C+5x+%2B3%2C+-7x%2F2+-31%2F2%29+ (graph 300x200 pixels, x from -6 to 5, y from -18 to 10, of TWO functions 5x +3 and -7x/2 -31/2).