Question

Which statement could be an interpretation of the graph’s x-intercept or y-intercept?

On a coordinate plane, a line goes through points (0, 800) and (400, 0).

Answer 1

And then we can find the y intercept using one point for example (0,800) and we have:

And our model would be:

And the x intercept would be if y=0 then

x intercept =400 represent the value of x when y =0

y intercept = 800 represent the value of y when x =0

Explanation:

We have the following points given:

(0, 800) and (400, 0)

If we want to find the x intercept and y intercept we need to remember that we need to set a linear model given by:

Where

And then we can find the y intercept using one point for example (0,800) and we have:

And our model would be:

And the x intercept would be if y=0 then

x intercept =400 represent the value of x when y =0

y intercept = 800 represent the value of y when x =0

Explanation:

Answer 2

`m=(y_2 -y_1)/(x_2 -x_1) =(0-800)/(400-0)= -2`

And then we can find the y intercept using one point for example (0,800) and we have:

`800= -2*0+ b`

`b= 800`

And our model would be:

`y = -2x +800`

And the x intercept would be if y=0 then

`0 =-2x +800`

`x =400`

x intercept =400 represent the value of x when y =0

y intercept = 800 represent the value of y when x =0

Explanation:

We have the following points given:

(0, 800) and (400, 0)

If we want to find the x intercept and y intercept we need to remember that we need to set a linear model given by:

`y=mx +b`

Where

`m=(y_2 -y_1)/(x_2 -x_1) =(0-800)/(400-0)= -2`

And then we can find the y intercept using one point for example (0,800) and we have:

`800= -2*0+ b`

`b= 800`

And our model would be:

`y = -2x +800`

And the x intercept would be if y=0 then

`0 =-2x +800`

`x =400`

x intercept =400 represent the value of x when y =0

y intercept = 800 represent the value of y when x =0