the answer choices did not fit in the picture so here they are. A: y - 2 = - 3/4 (x - 6)B: y + 6 = 4/5 ( x + 3) C: y - 5 = - 2/3 (x + 9) D: y - 6 = 4/5 (x - 2)

In the picture, we can spot two points: (6,2) and (10, -1).
First, we'll calculate the slope:
[tex]\begin{gathered} m=\frac{\Delta y}{\Delta x} \\ m=\frac{y2-y1}{x2-x1} \\ m=\frac{-1-2}{10-6} \\ m=\frac{-3}{4} \end{gathered}[/tex]Now, using the points given we can find the point-slope equation, whose form is: y-b=m*(x-a), m is the slope and (a,b) is a point in the line.
We'll use the point (6,2), the equation will be:
y´-2 = -3/4(x-6)
Letter A