M.com Look at this graph. 1,000 800 600 400 200 -1,000 800 -600 -400 -200 O 200 400 600 800 1,000 -200 -400 -600 00 - 1,000 What is the equation of the line in slope-intercept form? Write your answer using integers, proper fractions, and improper fractions in simplest form.

Respuesta :

In the graph, consider any two coordinates : ( 700,0) & (0,-700)

The general equation of the line is express as :

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

Substitute the value of the coordinates in the general equation of line:

[tex]\begin{gathered} y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1) \\ \text{ Substitute x}_1=700,y_1=0,x_2=0,y_2=-700 \\ y-0=\frac{-700-0}{0-700}(x-700) \\ y=\frac{-700}{-700}(x-700) \\ y=1(x-700) \\ y=x-700 \\ x-y=700 \end{gathered}[/tex]

The equation of line is x - y = 700

In slope intercept form is : y = x - 700

Answer : y = x - 700