SOLUTION: Suppose that g(x)is a linear function and also that g(1)=12 and g(-2)=-3. Find an algebraic formula for g(x).
I am so lost here. I am probably reading way to far into this que
Algebra.Com
Question 318082: Suppose that g(x)is a linear function and also that g(1)=12 and g(-2)=-3. Find an algebraic formula for g(x).
I am so lost here. I am probably reading way to far into this question but I have no idea where to start. Any help would be greatly appreciated.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Since g(1)=12 and g(-2)=-3, this means that the points (1,12) and (-2,-3) lie on the line. So all we need to do is find the equation of the line that goes through (1,12) and (-2,-3).
First let's find the slope of the line through the points
and
Note:
is the first point
. So this means that and .
Also,
is the second point
. So this means that and .
Start with the slope formula.
Plug in , , , and
Subtract from to get
Subtract from to get
Reduce
So the slope of the line that goes through the points
and
is
Now let's use the point slope formula:
Start with the point slope formula
Plug in , , and
Distribute
Multiply
Add 12 to both sides.
Combine like terms.
So the equation that goes through the points
and
is
Now simply replace 'y' with g(x) to get
So the linear function is
RELATED QUESTIONS
Suppose that g(x) is a linear function and also that g(1)=12 and g(-2)=-3. Find... (answered by richwmiller)
Let g be a linear function such that g(-1)= -3 and g(-4)= 12
Find an equation for g(x)
(answered by josmiceli)
Suppose g is a linear function such that g(1.1)=3.3 and g(−2)=7.2. Find the
equation... (answered by josgarithmetic,MathLover1)
If a function g is such that g(-1)=-7 and g(3)=8 then how do i go about finding an... (answered by stanbon)
Suppose g is an exponential function and g(2)=10 and g(3)=19. Write a function formula... (answered by greenestamps)
a. Suppose f is an exponential function and f(0)=8 and f(1)=18. Write a function formula... (answered by josgarithmetic)
Let h(x)= 2x^2+8x-15 and g(x)=2x^2 Find a linear function f so that h= g 0... (answered by HyperBrain)
4. Find the formula for the linear function that passes through the point P = ( -4, -1 ) (answered by ewatrrr)
Find the formula for the linear function that passes through the point P = ( -4, -1 ) and (answered by ankor@dixie-net.com)