Which statement is true? Select all that apply. This is the graph link https://lh3.googleusercontent. com/F9t9-nCVGp3D_hVQ-h0RtltGzw8zWGA XSFbpdWWZsk0Es0X2J3OwqO-kiyiC_qpqxE ANbN4TsIMy6L00lJWErPbE69oHGalmeCBnd PrvZrOVKTPX3DzJJE55S56MoA=w218

The relationship is proportional.

The slope is -6.

The slope is negative.

The y-intercept is -3.

The equation of the line is y = -3x

"The relationship is proportional."

"The relationship is proportional."

"The equation of the line is y = -3x"

Step-by-step explanation:

First, a proportional relationship can be written as:

y = k*x

where k is called the constant of proportionality. (or the slope)

You can see that if we take x = 0, we have

y = k*0 = 0

Then this type of line always passes through the point (0, 0).

And in the graph you can see that this line does that, then:

"The relationship is proportional." is true.

We also can see that as x increases, the value of y decreases, this must imply that k is a negative number, then:

"The slope is negative." is true.

To find the value of the slope, we can take two points that belong to the line.

I will choose:

(0, 0) and (2, -6)

For the slope, we just take the quotient between:

Δy = -6 - 0 = -6  (the difference in the y-components)

Δx = 2 - 0 =  2   (the difference in the x-components)

the slope is:

k = Δy/Δx = -6/2 = -3

Then the slope is -3, and we can write the equation as:

y = -3*x

Then:

"The equation of the line is y = -3x" is true.

step-by-step explanation: