SOLUTION: find an equation of the line passing through the give points. use function notation to write the equation. (1,2) and (3,3)

Algebra ->  Equations -> SOLUTION: find an equation of the line passing through the give points. use function notation to write the equation. (1,2) and (3,3)      Log On


   

Question 96228: find an equation of the line passing through the give points. use function notation to write the equation. (1,2) and (3,3)
Answer by tutorcecilia(2152) About Me  (Show Source):
You can put this solution on YOUR website!
Use the formula for the slope of a line:
m=%28y1-y2%29%2F%28x1-x2%29%29%29
m=%28%282-3%29%2F%281-3%29%29%29
m=%28-1%29%2F%28-2%29%29%29
m=%281%2F2%29
.
Use the formula for the slope-intercept equation of a line:
y=mx+b
Pick one point and plug it into the equation; plug-in the slope and solve for the b-value:
2=(1/2)(1)+b
2=1/2+b
2-1/2=b
3/2=b
.
Plug-in the value of the slope and the b-term:
y=1/2x+3/2
f(x)=1/2x+3/2