SAT Question 9eb896c5: Two-variable Data Models And Scatterplots answer and explanation with Desmos solution

Choice A is correct. The data show a strong linear relationship between $x$ and $y$. The line of best fit for a set of data is a linear equation that minimizes the distances from the data points to the line. An equation for the line of best fit can be written in slope-intercept form, $y=mx+b$, where $m$ is the slope of the graph of the line and $b$ is the $y$-coordinate of the $y$-intercept of the graph. Since, for the data shown, the $y$-values increase as the $x$-values increase, the slope of a line of best fit must be positive. The data shown lie almost in a line, so the slope can be roughly estimated using the formula for slope, $m=\frac{y_2-y_1}{x_2-x_1}$. The leftmost and rightmost data points have coordinates of about $(1,4)$ and $(8,26)$, so the slope is approximately $\frac{26-4}{8-1}=\frac{22}{7}$, which is a little greater than $3$. Extension of the line to the left would intersect the $y$-axis at about $(0,1)$. Only choice A represents a line with a slope close to $3$ and a $y$-intercept close to $(0,1)$.