Question

Find the equation of the line shown in the graph.

Short answer

The equation is$y=\frac{3}{5}x+1$.

Step-by-step solution

Step 1. Find y-intercept from the graph

We can see that graph crosses $y-$axis at $(0,1)$.

So the $y-$intercept is $(0,b)=(0,1)$

Another point on the line is$(5,4)$.

Step 2. Find slope by counting rise and run

Slope is:

$$\begin{gathered} m=\frac{rise}{run} \\ m=\frac{3}{5} \end{gathered}$$

Step 3. Substitute the values into the slope-intercept form

The slope-intercept form is:

$$\begin{gathered} y=mx+b \\ y=\frac{3}{5}x+1 \end{gathered}$$

The equation of the line is$y=\frac{3}{5}x+1$.