Question

How do you graph the linear function `f(x)=-2x+1`?

Answer 1

See the explanation below.

Explanation:

First, the slope-intercept equation of a line is `y=mx+b`.

`b` is the y-intercept, or the point where the line crosses the y-axis. In this equation, `b = 1`. You can plot this point on the y-axis.

Next, you know that the slope is `m=-2`. Slope is basically `(rise)/(run)`, so you go down -2 units and move right 1 unit. Start at the point you already plotted (0,1) and plot each point from there.

graph{y = -2x +1 [-9.96, 10.04, -3.8, 6.2]}