Answer:
The required graph is shown below.
Explanation:
Consider the provided function.
![y=-(4)/(7)x+1](https://img.qammunity.org/2019/formulas/mathematics/high-school/ui90lu7mx1g1hcsuw26dtykq2yi97zhtl6.png)
The above function is a linear function.
We can draw the graph of the function with the help of 2 points.
Substitute x = 0 in the above function.
![y=-(4)/(7)(0)+1](https://img.qammunity.org/2019/formulas/mathematics/high-school/sece6kegq3tr6jyz2za7jujhh3q5ngzhyj.png)
![y=1](https://img.qammunity.org/2019/formulas/mathematics/high-school/7wxb3anhuavcqtqujp0bjfapj1jhy5fiuk.png)
Substitute y = 0 in the above function.
![0=-(4)/(7)x+1](https://img.qammunity.org/2019/formulas/mathematics/high-school/e4pgwvfsx09trwrxqjlss13d3xk2q12g26.png)
![(4)/(7)x=1](https://img.qammunity.org/2019/formulas/mathematics/high-school/q1r8a3ndjzu8kbxiuvebm8m9uaegxj3f8l.png)
![x=(7)/(4)](https://img.qammunity.org/2019/formulas/mathematics/high-school/hqfid7gzrhnxxi1qkw5vbdvev9aydli6on.png)
Now plot the points.
Draw a straight line passing through (0,1) and (7/4,0)
The required graph is shown below.