Skip to content

Physics Playground

Simulations How we teach Pricing

Language

Log in Start learning free

Loading…

Physics Playground

Built on open, peer-reviewed sources: OpenStax, The Feynman Lectures on Physics, HyperPhysics, NASA and NIST. See our sources.

Learn

Physics course
Math for Physics
Start with the math toolkit
Simulations
Glossary
Exercises
Past exams
Library
How we teach

Company

Pricing
Terms
Privacy
Contact

© 2026 Physics Playground. Made for the curious.Language

Exercises Graphs and straight lines

Example 4.41 from Elementary Algebra, 4.5 Use the Slope–Intercept Form of an Equation of a Line

Use the Slope–Intercept Form of an Equation of a Line: example 4.41

Identify the slope and y-intercept of the line with equation $y = −3 x + 5$ .

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Solution
We compare our equation to the slope–intercept form of the equation.

Write the equation of the line.

Identify the slope.

Identify the y-intercept.

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Identify the slope and y-intercept of the line $y = \frac{2}{5} x - 1$ .

How did it go?

PreviousUse the Slope–Intercept Form of an Equation of a Line: example 4.40 Next Use the Slope–Intercept Form of an Equation of a Line: example 4.42

From Elementary Algebra (1st edition) by OpenStax (Rice University), section 4.5, licensed under CC BY 4.0. Original at openstax.org. We split the solution into steps; the words, numbers and figures are the book's. OpenStax doesn't endorse this site.