SAT Question c22b5f25: Linear Functions answer and explanation with Desmos solution

Choice C is correct. A linear function can be written in the form $f(x)=mx+b$, where $m$ is the slope and $b$ is the $y$-coordinate of the $y$-intercept of the line. The slope of the graph can be found using the formula $m=\frac{y_2-y_1}{x_2-x_1}$. Substituting the values of the given points into this formula yields $m=\frac{-5-3}{4-(-2)}$ or $m=\frac{-8}{6}$, which simplifies to $m=-\frac{4}{3}$. Only choice C shows an equation with this slope.