graphing a linear equation - Use what you know about y = mx + b to graph the following equations quickly

Sangeetha Pulapaka (last edited 2 years ago) (Expert, Educator @Qalaxia)

Step 1: Recall what are x-intercepts and y-intercepts.

The x-intercept is the point at which the graph touches the x-axis. There is no y value on the x-axis and the y-intercept is the point at which the graph touches the y-axis. There is no x value on the y-intercept.

Step 2:

Find the x- and the y-intercepts of a linear equation y = -2 x +10

Plug in x = 0, in y = -2 x +10 to get y = 10. The y-intercept is (0,10)

Plug in y = 0 in y = -2 x + 10 to get x = 5. The x-intercept is (5,0)

Step 3:

Plot the x- and the y-intercepts on the graph and join the points

This is the graph of the linear equation