Question

I need help with this question

Answer 1

U have to find the slope
Using the formula y2-y1/x2-x1

Answer 2

First find the slope which is $\frac{y_2-y_1}{x_2-x_1}$ which if you plug in the points becomes $\frac{10-5/2}{4--6} = \frac{7.5}{10} = \frac{3}{4}$

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.