Yes, I'd be happy to help you graph the linear function y = -2x + 3!
To graph a linear function, you need to plot two points on the coordinate plane and then draw a straight line through them. You can do this in a few easy steps:
1. Start by finding the y-intercept, which is the point where the line crosses the y-axis. In this case, the y-intercept is 3, since the equation is in the form y = mx + b, where b is the y-intercept.
2. Choose a value for x and use the equation to find the corresponding value for y. For example, if we choose x = 0, we know that y = -2(0) + 3 = 3, so one point on the line is (0, 3).
3. Choose another value for x and find the corresponding value for y. If we choose x = 1, we know that y = -2(1) + 3 = 1, so another point on the line is (1, 1).
4. Plot the two points (0, 3) and (1, 1) on the coordinate plane, and then draw a straight line through them.
Here's what the graph looks like:
![graph](https://i.imgur.com/nxg6hhH.png)