Question

Choose the equation that represents the graph below.

Answer 1

Answer:

c. $y=-\frac{2}{3}x+6$

Step-by-step explanation:

We have to choose that equation which represents the given graph.

From given graph , the graph cut the y- axis at point (0,6) and cut the x- axis (9,0).

a.$y=-2x-6$

Substitute x=0 then we get

y=-6

But we have y-intercept y=6

Therefore, this equation does not represents the given graph.

b. $y=\frac{2}{3}x+6$

Substitute  y=0 then, we get

$\frac{2}{3}x+6=0$

$\frac{2}{3}x=-6$

$x=\frac{-6\times 3}{2}=-9$

The x- intercept =-9

But , we have x=9

Therefore, it is false.

c. $y=-\frac{2}{3}x+6$

Substitute x=0 then we get

y=6

Substitute y=0

Then, we get

$-\frac{2}{3}x+6=0$

$\frac{2}{3}x=6$

$x=\frac{6\times 3}{2}=9$

Hence, the line passing through the point (9,0) and (0,6) .Therefore, it represents the given graph.

Answer:c. $y=-\frac{2}{3}x+6$

Answer 2

The equation is y = -2/3x + 6