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find the equation of the linear function f using the information f(4)=1 and f (8)=7?
i need help on my math hw
2 Answers
- Maria DescartesLv 71 decade agoFavorite Answer
Look:
f(x)=ax+b
f(4)=1
4a+b=1
and f (8)=7
8a+b=7
{8a+b=7 -
{4a+b=1
---------------
4a=6
a=6/4
a=3/2
4a+b=1
4.3/2+b=1
6+b=1
b=1-6
b=-5
f(x)=3x/2-5
or
f(x)=(3x-10)/2
- Anonymous1 decade ago
/first find the slope, which is 7/3 for this equation.
now set the equation equal to the slope.
7/3 = (y-8) / (x-7)
And solve it.
the equation would be:
y = 7/3*x - 25/3 or
f(x) = 7/3*x -25/3
Try by plotting x. you will get the results f(4) = and f(7) = 8