Question

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

Answer 1

Answer:

$m=\frac{y_2 -y_1}{x_2 -x_1} =\frac{0-800}{400-0}= -2$

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

Step-by-step 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

$m=\frac{y_2 -y_1}{x_2 -x_1} =\frac{0-800}{400-0}= -2$

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