To graph the linear function y = -2x + 1, we'll plot a few points and then connect them.
First, we'll set x equal to different values and solve for y:
When x = -1:
y = -2(-1) + 1
y = 2 + 1
y = 3
So one point on the graph is (-1, 3).
When x = 0:
y = -2(0) + 1
y = 0 + 1
y = 1
So another point on the graph is (0, 1).
When x = 1:
y = -2(1) + 1
y = -2 + 1
y = -1
So another point on the graph is (1, -1).
We can also choose more values of x and solve for y, but three points are sufficient to graph the function.
Now, let's plot the three points (-1, 3), (0, 1), and (1, -1) on a coordinate plane and connect them:
Here's the graph of the linear function y = -2x + 1:
graph-2x+1
Graph the linear function.
y = -2x + 1
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