Home/Integrated Math 1/Lesson 58

Slope-intercept form: graph an equation

Graph lines efficiently from y = mx + b using intercept and slope moves.

Do this: Read the concept below, then try the quiz or activity.

Lesson 58 of 192
30%

Concept

Objective: Students will graph linear equations from slope-intercept form.

Estimated Time: 12 minutes

Standards:
HSF-IF.C.7HSA-CED.A.2

In y = mx + b, start at (0,b), then apply slope m as rise/run to generate more points.

Try it

Graph y = -1/2 x + 4.

๐Ÿ“ˆ Coordinate Grapher

Practice graphing directly from y = mx + b.

y = y = 1x
-10-9-8-7-6-5-4-3-2-112345678910-10-9-8-7-6-5-4-3-2-112345678910

Concept Check

In y = 3x - 2, y-intercept is:

Concept Check

In y = -2x + 1, slope tells you to:

Common Misconception
Always verify your result in context instead of trusting a first pass.

Graph in slope-intercept form

These steps are out of order โ€” can you fix them?

1.Use m as rise/run
2.Plot (0,b)
3.Draw and verify line
4.Identify b

Short Answer

Why is (0,b) always on the graph of y = mx + b?

Mastery Check

Pass this check with at least 80% to unlock completion.

Question 1

In y = 3x - 2, y-intercept is:

Question 2

In y = -2x + 1, slope tells you to:

Pass the mastery check (80%+) to unlock completion.