Question

HELP!!!! PLEASE! 10 POINTS Which function is graphed?

Answer 1

Answer:

f(x)=2x-6

Step-by-step explanation:

Because the slope is 2 and the y-intercept is -6.

Answer 2

$x$Answer:

The answer would be $f(x)=2x-6$

Step-by-step explanation:

    The question is basically asking for the slope intercept form and $f(x)$ is equal to $y$. So after we have figured that out we would have to know what the slope intercept form is, slope intercept form is simply $y=mx+b$. In the equation $m$ will equal the slope or the rise over run and $b$ will equal the y-intercept and that is all we need to solve this equation.

    If we look at the graph we will see that the line crosses the y axis at the point (0,-6) so knowing that we will remember that $b$ is the y-intercept is where the line crosses the y axis and in this case it is crossing it at -6 so if we plug that into the equation we will get $y=mx-6$.

    Now we will find the slope or $m$. First we will see the distance between the 2 points on the graph, if we count we will have to go up 6 to get to (0,0) and we will go right 3 so we know that slope is rise over run so you would go up or rise 6 and go right or run 3 so we would get $\frac{6}{3}$ as our slope, but we could simplify this to just 2 so we would get $2x$ as our $mx$.  

    We have solved all of the parts and now we can put it together. So first we would do f of x or $f(x)$ which means function and than we would put $2x$ and finally we would put our $-6$. When we put that all together we would get $f(x)=2x-6$.

   To check you could just graph this and you would get:

P.S. The f(x) turned into a y in the process:)