(628)-272-0788 info@etutorworld.com
Select Page

Slope from a Graph

Grade 8 Math Worksheets

To find the slope of a line from a graph, you need to identify two points on the line. The slope of the line is equal to the change in y divided by the change in x between the two points.

Table of Contents:

  • Slope from a Graph
  • Solved Examples
  • FAQs

Personalized Online Tutoring

Slope from a Graph - Grade 8 Math Worksheet PDF

This is a free worksheet with practice problems and answers. You can also work on it online.

Sign up with your email ID to access this free worksheet.

"We really love eTutorWorld!"

"We really love etutorworld!. Anand S and Pooja are excellent math teachers and are quick to respond with requests to tutor on any math topic!" - Kieran Y (via TrustSpot.io)

"My daughter gets distracted easily"

"My daughter gets distracted very easily and Ms. Medini and other teachers were patient with her and redirected her back to the courses.

With the help of Etutorworld, my daughter has been now selected in the Gifted and Talented Program   for the school district"

- Nivea Sharma (via TrustSpot.io)

Slope from a Graph

To find the slope of a line from a graph, you need to identify two points on the line. The slope of the line is equal to the change in y divided by the change in x between the two points.

Let’s say you have a graph of a line and you want to find its slope. Here’s how you can do it:

Identify two points on the line. You can choose any two points as long as they are on the line. Let’s call these points (x1, y1) and (x2, y2).

Calculate the change in y between the two points. This is equal to y2 – y1.

Calculate the change in x between the two points. This is equal to x2 – x1.

Divide the change in y by the change in x to get the slope of the line. This is equal to (y2 – y1) / (x2 – x1).

For example, let’s say you have the line passing through the points (2, 3) and (5, 9). To find the slope of the line, we can use the formula:

slope = (y2 – y1) / (x2 – x1)

where (x1, y1) = (2, 3) and (x2, y2) = (5, 9). Substituting these values into the formula, we get:

slope = (9 – 3) / (5 – 2)

= 6 / 3

= 2

So, the slope of the line passing through the points (2, 3) and (5, 9) is 2.

There have been times when we booked them last minute, but the teachers have been extremely well-prepared and the help desk at etutorworld is very prompt.

Our kid is doing much better with a higher score.

- Meg, Parent (via TrustSpot.io)

8th Grade Tutoring

eTutorWorld offers Personalized Online Tutoring for Math, Science, English, and Standardised Tests.

Our Tutoring Packs start at just under $22.49 per hour, and come with a moneyback guarantee.

Schedule a FREE Trial Session, and experience quality tutoring for yourself. (No credit card required.)

Solved Examples 

Example 1: Find the slope of the line passing through the points (-2, 4) and (3, 8).

Solution: Using the formula for slope, we have:

slope = (y2 – y1) / (x2 – x1)

where (x1, y1) = (-2, 4) and (x2, y2) = (3, 8).

Substituting these values into the formula, we get:

slope = (8 – 4) / (3 – (-2))

= 4 / 5

Therefore, the slope of the line passing through the points (-2, 4) and (3, 8) is 4/5.

 

Example 2: Find the slope of the line passing through the points (0, -3) and (4, 5).

Solution: Using the formula for slope, we have:

slope = (y2 – y1) / (x2 – x1)

where (x1, y1) = (0, -3) and (x2, y2) = (4, 5).

Substituting these values into the formula, we get:

slope = (5 – (-3)) / (4 – 0)

= 8 / 4

= 2

Therefore, the slope of the line passing through the points (0, -3) and (4, 5) is 2.

Example 3: Find the slope of the line passing through the points (2, 1) and (2, 5).

Solution: Using the formula for slope, we have:

slope = (y2 – y1) / (x2 – x1)

where (x1, y1) = (2, 1) and (x2, y2) = (2, 5).

Substituting these values into the formula, we get:

slope = (5 – 1) / (2 – 2)

However, the denominator is 0, which means that the slope is undefined. This is because the line passing through the points (2, 1) and (2, 5) is a vertical line, and vertical lines have undefined slope.

Therefore, the slope of the line passing through the points (2, 1) and (2, 5) is undefined.

Do You Stack Up Against the Best?

If you have 30 minutes, try our free diagnostics test and assess your skills.

FAQS

What is the slope of a horizontal line?

The slope of a horizontal line is 0, because the line has no vertical change (change in y) between any two points.

What is the slope of a vertical line?

The slope of a vertical line is undefined, because the line has no horizontal change (change in x) between any two points.

Can the slope of a line be negative?

Yes, the slope of a line can be negative if the line is slanting downwards from left to right.

How do I find the slope of a line if I only have one point?

You cannot find the slope of a line with only one point. You need at least two points to find the slope of a line using the formula: slope = (y2 – y1) / (x2 – x1).

Can I use any two points on a line to find the slope?

Yes, you can use any two points on a line to find the slope, as long as the points are not vertically aligned.

Gloria Mathew writes on math topics for K-12. A trained writer and communicator, she makes math accessible and understandable to students at all levels. Her ability to explain complex math concepts with easy to understand examples helps students master math. LinkedIn

Affordable Tutoring Now Starts at Just $22.49

eTutorWorld offers affordable one-on-one live tutoring over the web for Grades K-12. We are also a leading provider of Test Prep help for Standardized Tests (SCAT, CogAT, MAP, SSAT, SAT, ACT, ISEE, and AP).

What makes eTutorWorld stand apart are: flexibility in lesson scheduling, quality of hand-picked tutors, assignment of tutors based on academic counseling and diagnostic tests of each student, and our 100% money-back guarantee.

K12 Online Tutoring Free Trial - Step 1K12 Online Tutoring Free Trial - Step 2K12 Online Tutoring Free Trial - Step 3

 

Whether you have never tried personalized online tutoring before or are looking for better tutors and flexibility at an affordable price point, schedule a FREE TRIAL Session with us today.

*There is no purchase obligation or credit card requirement

10% OFF
Save Big on All Summer Courses and Tutoring Packs
Code : Summer10
10% OFF
Save Big on All Summer Courses and Tutoring Packs
Code : Summer10