Question

What is the equation of the blue line?

Answer 1

y=2x+3

Explanation:

The equation of a line is:

`y=mx+b` with m being the slope and b being the y-intercept.

The slope is
`(rise)/(run)`, where rise is how many units you go up/down from one point to another, and the run is how many units you go left/right from one point to another.

The y-intercept is when x=0, or where the line intercepts the y-axis.

In this case, we can see that the blue line intercepts the y-axis at (0,3), making 3 our y-intercept.

To find the slope, we first have to choose 2 points. Let's choose (0,3) and (1,5).

We can see that to go from (0,3) to (1,5), we have to go up 2 units and go right 1 unit. This means our slope is 2/1, or 2.

So, we can substitute the y-intercept and slope into our formula:

y=2x+3

Hope this helps! :)