SOLUTION: "Find a linear function of the form f(x)=ax+b satisfying f(-3)=4 and f(2)=6. Carefully sketch a graph of y=f(x) and be sure to label all intercepts." Help, please? Thank you!

Algebra ->  Graphs -> SOLUTION: "Find a linear function of the form f(x)=ax+b satisfying f(-3)=4 and f(2)=6. Carefully sketch a graph of y=f(x) and be sure to label all intercepts." Help, please? Thank you!      Log On


   

Question 840454: "Find a linear function of the form f(x)=ax+b satisfying f(-3)=4 and f(2)=6. Carefully sketch a graph of y=f(x) and be sure to label all intercepts."
Help, please? Thank you!
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=ax%2Bb
f%28-3%29=a%28-3%29%2Bb=4
1.-3a%2Bb=4
f%282%29=a%282%29%2Bb=6
2.2a%2Bb=6
Subract eq. 2 from eq. 1,
-3a%2Bb-2a-b=4-6
-5a=-2
a=2%2F5
Then from eq.2,
2%282%2F5%29%2Bb=6
4%2F5%2Bb=30%2F5
b=26%2F5
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highlight%28f%28x%29=%282%2F5%29x%2B26%2F5%29
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y-intercept:
y=%282%2F5%29%280%29%2B26%2F5%7D%7D%0D%0A%7B%7B%7By=26%2F5
(0,26/5)
x-intercept:
0=%282%2F5%29x%2B26%2F5
2x=-26
x=-13
(-13,0)