To graph the linear function y = -2x + 1, we can use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope and b is the y-intercept.
In this case, the slope is -2 and the y-intercept is 1, so we can plot the y-intercept as (0,1) and use the slope to find one or two more points on the line.
Going down in the y-direction by 2 units for each 1 unit we go to the right will give us the next point. So, from the y-intercept at (0,1), we can move down 2 units to (1,-1), and then down another 2 units to (2,-3).
We can continue this pattern indefinitely to draw the line as shown below:
<img src="https://www.onlinemathlearning.com/image-files/graph-linear-equation-example-1.gif">
Graph the linear function y=-2x+1.
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