What is an equation of the line in slope- intercept form? m=2 and the y intercept is (0,3)
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Hi there!
We can look at each function, f(x) and g(x), to determine which is exponential.
Use slope formula: m = y2-y1/x2-x1
f(x) starts off with a slope at about $1800/year, but becomes about $1100/year.
g(x) starts off with a slope of about $1500/year, but becomes about $1874/year.
Thus, g(x) is exponential, because g(x)'s slope is increasing across the interval.
Let's multiply the first equation by 3. (As you can see y's coefficient in the first one is 1 and in the second one is -3 , we will multiply the first equation by 3 so when we add the equations their sum will be 0)
Now let's add this new equation and our second equation.
We found x=-3
Now let's plug x's value in one of the equations to find y's value.
So we found y=5
Solution ;
(-3, 5)