Find the slope of a graph

Measure slope from a line graph and connect it to steepness and direction.

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

Lesson 55 of 192
28%

Concept

Objective: Students will determine slope from graph points and interpret what it means.

Estimated Time: 12 minutes

Standards:
HSF-IF.B.6HSF-IF.C.7

Slope quantifies steepness: positive slopes rise, negative slopes fall, zero slope is horizontal, undefined slope is vertical.

Try it

Find the slope of a line through (2, -1) and (6, 7).

๐Ÿ“ˆ Coordinate Grapher

Adjust slope and compare how steepness changes.

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

A vertical line has slope:

Concept Check

If slope is -3, the line moves:

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

Slope interpretation workflow

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

1.Compute slope
2.Interpret steepness
3.Connect to context
4.Determine sign

Short Answer

Why can two lines with positive slope look different?

Mastery Check

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

Question 1

A vertical line has slope:

Question 2

If slope is -3, the line moves:

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