Question

Help with math please???

Answer 1

Okay, let's see...

The problem is asking for a linear equation most likely in the form of y=mx+b

y is another way to say f(x)

m = slope

b = y intercept

Let's start with the y intercept first.

Y intercept means ' When does the line touch (intercept) the y axis.

In this case, if you look at the graph, the line touches the y axis at -1.

-1 will replaces b

To find the slope we are going to take 2 precise points from the graph.

Lets use (0,-1) and (-6,4)

To find the slope, we're going to use $\frac{(y_{2} -y_{1} )}{(x_{2} -x_{1} )}$

4 - (-1)     /     -6  - 0

Solve, our slope is 5/-6

That is our m

Our final equation is

$f(x)=\frac{-5}{6} x -1$