Question

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

Answer 1

y = negative two thirdsx + 6

Explanation:

Answer 2

y = negative two thirdsx + 6

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)

`Slope = m = (y_2-y_1)/(x_2-x_1)\\ = (0-6)/(9-0)\\ =(-6)/(9)\\= (-2)/(3)`

The standard from of equation is:

`y=mx+b`

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

`Putting\ (0,6)\ into\ the\ equation\\6 = 0 * (-2)/(3) +b\\ 6 = b`

Putting the value of b and m in standard form

`y = -(2)/(3)x+6`

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