Answer:
Point of x-intercept: (2,0).
Point of y-intercept: (0,6).
Step-by-step explanation:
1. Finding the x-intercept.
This point is where the graph of the function touches the x axis. It can be found by substituting the "y" for 0. This is how you do it:
![y=-3x+6\\ \\-3x+6=0\\ \\-3x=-6\\\\x=\frac{-6}{-3} \\ \\x=2](https://tex.z-dn.net/?f=y%3D-3x%2B6%5C%5C%20%5C%5C-3x%2B6%3D0%5C%5C%20%5C%5C-3x%3D-6%5C%5C%5C%5Cx%3D%5Cfrac%7B-6%7D%7B-3%7D%20%5C%5C%20%5C%5Cx%3D2)
Hence, the point of x-intercept: (2,0).
2. Finding the y-intercept.
This point is where the graph of the function touches the y axis. It can be found by substituting the "x" for 0. This is how you do it:
![y=-3(0)+6\\ \\y=6](https://tex.z-dn.net/?f=y%3D-3%280%29%2B6%5C%5C%20%5C%5Cy%3D6)
Hence, the point of y-intercept: (0,6).
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