Complete a table and graph a linear function

Use slope and intercept to complete tables and graph a linear relationship.

Lesson 3

Concept

A linear function has constant rate of change. For y = mx + b, each +1 in x changes y by m, and b is the y-intercept.

Try it

Given y = 2x - 3, complete values for x = -1, 0, 2 and graph the three points.

Concept Check

If y = 3x + 1, what is y when x = 2?

Concept Check

Which point is on y = 2x - 3?

Graphing from an equation

These steps are out of order — can you fix them?

1.Find two or more points
2.Substitute x-values into the equation
3.Plot points and draw the line
4.Interpret slope/intercept

Short Answer

Why is a table useful before graphing a line?