Answer:
![y=7x](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ykm4bd2k37c0zmhh082e4z4ml0hgm0w9up.png)
Explanation:
We have been given a graph. We are asked to find the equation of the line.
First of all, we will find slope of line using points (1,7) and (0,0).
![m=(y_2-y_1)/(x_2-x_1)](https://img.qammunity.org/2020/formulas/mathematics/high-school/pj0y5tg37a7a9ase0auiwe687ez8iaw2vl.png)
![m=(7-0)/(1-0)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/q3eo8kzzbo3o9v1co4q3l053k7ouybc2z9.png)
![m=(7)/(1)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/7hnggofd81dawkiizv9mlastmz11f02n31.png)
![m=7](https://img.qammunity.org/2020/formulas/mathematics/middle-school/c36asbcpke2esmer3p8o952r1et9w0ejve.png)
We can see that y-intercept is 0.
We will write he equation in slope-intercept form
, where b represents y-intercept and m represents slope.
![y=7x+0](https://img.qammunity.org/2020/formulas/mathematics/middle-school/a9gq24wgym9fpzssel84ucphr70grcyphh.png)
![y=7x](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ykm4bd2k37c0zmhh082e4z4ml0hgm0w9up.png)
Therefore, our required equation is
.