Choose the equation that represents the graph.

graph of a line passing through points 0 comma 6 and 9 comma 0

y = −2x − 6
y = two thirdsx + 6
y = negative two thirdsx + 6
y = 2x + 6

Respuesta :

Answer:

y = negative two thirdsx + 6

Step-by-step explanation:

Given points are:

(0,6) and (9,0)

We have to find the slope of the line first

Let

(x_1,y_1) = (0,6)

(x_2, y_2) = (9,0)

[tex]Slope = m = \frac{y_2-y_1}{x_2-x_1}\\ = \frac{0-6}{9-0}\\ =\frac{-6}{9}\\= \frac{-2}{3}[/tex]

The standard from of equation is:

[tex]y=mx+b[/tex]

We have to put the value of m and point in order to find the value of b

[tex]Putting\ (0,6)\ into\ the\ equation\\6 = 0 * \frac{-2}{3} +b\\ 6 = b[/tex]

Putting the value of b and m in standard form

[tex]y = -\frac{2}{3}x+6[/tex]

Therefore, y = negative two thirdsx + 6 is the correct answer ..

Answer:

y = negative two thirdsx + 6

Step-by-step explanation: