Pick two points near the left and right ends of the cluster and compute $\frac{\Delta y}{\Delta x}$ to estimate the slope.

After estimating the slope, use a point from the graph to estimate the $y$-intercept (the value of $y$ when $x=0$).

In Desmos, add a table and enter the approximate plotted points, such as $(1,2)$, $(2,3.6)$, $(3,4.7)$, $(4,6.2)$, $(5,7.9)$, $(6,9.0)$, and $(7,10.7)$.

Enter each answer choice as an equation (one per line), for example $y=1.5x+0.5$, and so on.

Look for the line that passes through the middle of the points with about the same number of points above as below, especially near $x=1$ and $x=7$.

Choose two points that are close to the overall trend, such as about $(1,2)$ and $(7,11)$. Then estimate the slope:

Use a point near the trend, such as $(1,2)$, in $y = 1.5x + b$:

A line with slope $1.5$ and $y$-intercept $0.5$ is

So the correct choice is $y = 1.5x + 0.5$.