First find the slope which is [tex] \frac{y_2-y_1}{x_2-x_1} [/tex] which if you plug in the points becomes [tex] \frac{10-5/2}{4--6} = \frac{7.5}{10} = \frac{3}{4} [/tex]
Option A has the slope 3/4 so therefore that's the answer.
If we had multiple options with 3/4 as the slope, you would have to substitute one of the ordered pairs in the equation y = 3/4x + b and find b, which would be the y-intercept, and that is how you would get the answer, but in our case, we don't need to.
