HELP ME OUT PLEASE!!!!!!!

What equation, in point-slope form, matches the graphed line shown?

A) y - 5 = -2/3 (x + 9)

B) y - 2 = - 3/4 (x - 6)

C) y - 6 = 4/5 (x - 2)

D) y + 6 = 4/5 (x + 3)​

HELP ME OUT PLEASE What equation in pointslope form matches the graphed line shownA y 5 23 x 9B y 2 34 x 6C y 6 45 x 2D y 6 45 x 3 class=

Respuesta :

The correct option is (B).

Given a line shown in the graph with points (6, 2)

We need to find the equation using the point-slope form as

= y - y₁ = m ( x - x₁)

Here m is the slope

To write this equation we need to find the slope for that we need another point.

We can observe the line cuts the axes on another point in the graph as

(-2, 8).

So slope (m) = y₂ - y₁ / x₂ - x₁

                     = 8 - 2 / -2 - 6

                     = 6 / -8

                     = -3 / 4

Now the point-slope equation form can be written as

= y - y₁ = m ( x - x₁)

= y - 2 = -3/4 (x - 6)

Therefore, the correct option is (B).

To learn more about point slope form refer below

https://brainly.com/question/24436844

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