SOLUTION: what is the Y-intercept of the line that passes through the points (7,4) and (-3,9)

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: what is the Y-intercept of the line that passes through the points (7,4) and (-3,9)      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 217392: what is the Y-intercept of the line that passes through the points (7,4) and
(-3,9)

Found 2 solutions by checkley77, elima4:
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
(7,4) (-3,9)
Slope=(9-4)/(-3-7)=5/-10=-2 is the slope
4=-2*7+b
4=-14+b
b=4+14
b=18 the y intercept.
y=-2x+18
+graph%28+300%2C+200%2C+-6%2C+15%2C+-10%2C+20%2C+-2x+%2B18%29+ (graph 300x200 pixels, x from -6 to 15, y from -10 to 20, -2x +18).

Answer by elima4(15) About Me  (Show Source):
You can put this solution on YOUR website!
First we need to find the slope;
%284-9%29%2F%287%2B3%29
-5%2F10+=+-1%2F2
so now we have;
y = -1/2x + b
Now use either point in our equation and solve for b;
4 = -1/2(7)+b
4 = -7/2 + b
4 + 7/2 = b
8/2 + 7/2 = b
15/2 = b
This is the y-intercept;
b = 7%281%2F2%29
:)