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

1 Answer
Jul 3, 2017

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]}