Question

How would you find the slope and y-intercept of this problem and match it with a graph?

Answer 1

Given the equation:

$y=2x+1$

You can identify that it is written in Slope-Intercept Form:

$y=mx+b$

Where "m" is the slope of the line and "b" is the y-intercept.

In this case, you can identify that:

$\begin{gathered} m=2 \\ b=1 \end{gathered}$

Notice that the positive slope indicates that the line rises as it moves from left to right.

By definition:

$m=\frac{rise}{run}$

Then, you can rewrite the slope of this line as:

$m=\frac{2}{1}$

Therefore, the line moves two units up and 1 unit right.

Knowing this, you can identify its graph:

Hence, the answer is: Second option.