Question

Look at this graph. 100 80 60 40 20 -40 0 -80 -60 -20 20 40 60 100 -100 80 20 -40 -60 -80 -100 What is the equation of the line in slope-intercept form?

Answer 1

The equation of the line is;

`y=x-10`

Step-by-step explanation:

Given the graph in the attached image.

We want to find the equation of the line;

The y-intercept of the line is at;

`\begin{gathered} (0,-10) \\ b=-10 \end{gathered}`

The slope m of the line is;

`\begin{gathered} m=(y_2-y_1)/(x_2-x_1) \\ m=(20-0)/(30-10) \\ m=(20)/(20) \\ m=1 \end{gathered}`

writing the equation of the line in slope-intercept form;

`\begin{gathered} y=mx+b \\ y=(1)x+(-10) \\ y=x-10 \end{gathered}`

Therefore, the equation of the line is;

`y=x-10`