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)

Question

asked Oct 5, 2023 153k views

1 Answer

Jwanagel · Answer 1 · 2023-10-10T17:07:01+0000

In the picture, we can spot two points: (6,2) and (10, -1).

First, we'll calculate the slope:

$\begin{gathered} m=(\Delta y)/(\Delta x) \\ m=(y2-y1)/(x2-x1) \\ m=(-1-2)/(10-6) \\ m=(-3)/(4) \end{gathered}$

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