SOLUTION: Find an equation of the line containing the given pair of points (3,2) and (9,5) Y=

Algebra ->  Linear-equations -> SOLUTION: Find an equation of the line containing the given pair of points (3,2) and (9,5) Y=      Log On


   



Question 188085: Find an equation of the line containing the given pair of points
(3,2) and (9,5)
Y=

Found 2 solutions by checkley77, jojo14344:
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
(3,2) and (9,5)
Y=mX+b
Slope=(y2-y10/(x2-x1)
Slope=(5-2)/(9-3)
Slope=3/6=.5 ans.
2=3*.5+b
2=1.5+b
2-1.5=b
.5=b the Y intercept.
y=.5x+.5
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+.5x+%2B.5%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, .5x +5).

Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!


Given points: (3,2) & (9,5)
We first find the Slope via Slope-Intercept Form, m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
Substituting,
m=%285-2%29%2F%289-3%29=3%2F6=1%2F2

Then thru point (3,2) via Slope-Intercept Form, y=mx+b:
2=%281%2F2%293%2Bb--->2=3%2F2%2Bb
b=2-3%2F2=%284-3%29%2F2=1%2F2 Y-Intercept
Also, thru (9,5): (should be the same)
5=%281%2F2%299%2Bb --->5=9%2F2%2Bb
b=5-9%2F2=%2810-9%29%2F2=1%2F2
The Line Eqn ==> y=(1/2)x+(1/2), Answer
We see graph,

Thank you,
Jojo