Given:
![y=-(3)/(4)x+1](https://img.qammunity.org/2023/formulas/mathematics/high-school/nud1nm27hpc4fp84asj0xhtzgghy76psve.png)
Aim:
We need to graph the given function.
Step-by-step explanation:
Replace x =-4 in the given equation.
![y=-(3)/(4)(-4)+1](https://img.qammunity.org/2023/formulas/mathematics/high-school/uu7q1yv02jji5lu92zgez79jgvas5i6gei.png)
![y=-3(-1)+1](https://img.qammunity.org/2023/formulas/mathematics/high-school/tjyvqfi1xj6mqv1lubv2uszj46emt0h0v0.png)
![y=3+1](https://img.qammunity.org/2023/formulas/mathematics/high-school/ebkkti2tqlihyamgvfxvvszzop8p2shm62.png)
![y=4](https://img.qammunity.org/2023/formulas/mathematics/high-school/wx52g7p0v1iblbd3gyv6qd8su55c639ir8.png)
We get the point (-4, 4).
Replace x = 0 in the given equation.
![y=-(3)/(4)(0)+1](https://img.qammunity.org/2023/formulas/mathematics/high-school/323yldwd4qkh3nubvlfwngmp66h8u3a77h.png)
![y=1](https://img.qammunity.org/2023/formulas/mathematics/high-school/dy87pp1e3lz28ku95s9s4tv5bvbrg0dkd1.png)
We get the point (0,1).
Replace x =4 in the equation.
![y=-(3)/(4)(4)+1](https://img.qammunity.org/2023/formulas/mathematics/high-school/32hljnt716ab39gml7iyu9vqlh2mrdnf6h.png)
![y=-3+1](https://img.qammunity.org/2023/formulas/mathematics/high-school/ky0ckbp4exz31jwcr2lcu9lgswhpy3xx4y.png)
![y=-2](https://img.qammunity.org/2023/formulas/mathematics/high-school/tcn3iys8rd82ithvwo5zbctm5hqvvqtks0.png)
We get the point ( 4, -2).
Mark the points (-4, 4), (0,1), and ( 4, -2) on the graph and join them by ray.
Final answer:
![(-4,4),\text{ }(0,1),\text{ }(4,\text{ -2}).](https://img.qammunity.org/2023/formulas/mathematics/high-school/cwgbhtv5uwx76u9tvrsivbev3d2nplrcoi.png)
The graph of the given eqaution: