Representations of Functions: Matching a table to a function

Which of the following equations corresponds to the function represented in the table?

We will use the formula for finding slope:

$m=\frac{y_2-y_1}{x_2-x_1}$

Let's take the points:

$(-1,4),(3,8)$

$m=\frac{8-4}{3-(-1)}=$

$\frac{8-4}{3+1}=$

$\frac{4}{4}=1$

We'll substitute the point and slope into the line equation:

$y=mx+b$

$8=1\times3+b$

$8=3+b$

Let's combine like terms:

$8-3=b$

$5=b$

Therefore, the equation will be:

$y=x+5$

$y=x+5$

Which of the following equations corresponds to the function represented in the table?

$y=x+2$

Which of the following equations corresponds to the function represented in the table?

$y=\frac{1}{2}x+1$

Which of the following equations corresponds to the function represented in the table?

$y=\frac{2}{3}x+2\frac{2}{3}$

Which of the following equations corresponds to the function represented in the table?

$y=\frac{1}{3}x$

Which of the following equations corresponds to the function represented in the table?

$y=x-2$

Which of the following equations corresponds to the function represented in the table?

$y=x+1$

Which of the following equations corresponds to the function represented in the table?

$y=x+3$

Which of the following equations corresponds to the function represented in the table?

$y=2x-5$

Which of the following equations corresponds to the function represented in the table?

$y=\frac{1}{4}x-2$