Question

Help me all these other tutor can’t figure this out

Answer 1

Given:

A table of x and y values

To determine the equation based on the given table, we get first the change y over change in x as shown below:

We can notice that the change in x is 1, while the change in y is 4.

Next, we use the slope formula:

Slope = Change in y/Change in x

So,

$\begin{gathered} \text{Slope}=\frac{4}{1} \\ \text{Simplify} \\ \text{Slope}=4 \end{gathered}$

Then, we use the slope intercept formula:

$y=mx+b$

where:

m=slope

b=y-intercept

We also note that the y-intercept is where the corresponding x-coordinate always zero. As we can see on the given table, x equals zero when y=-2, so the y-intercept is -2.

We plug in m=4 and b=-2 into y=mx+b:

$\begin{gathered} y=mx+b \\ y=4x+(-2)_{}_{} \\ \text{Simplify} \\ y=4x-2 \end{gathered}$

Therefore, the equation is y=4x-2.