How to Find the Equation of a Line: Examples and Easy Steps

Learn how to find the equation of a line in slope-intercept form, point-slope form, and standard form by exploring each method and solving example problems.

Slope-Intercept Form: y = mx + b
This form emphasizes the slope (m) and the y-intercept (b) of the line.

Point-Slope Form: y - y₁ = m(x - x₁)
This form is deal when you know a point on the line (x₁, y₁) and the slope (m), or when you know two points on the line.

Standard Form: Ax + By = C
Commonly used in algebra, this form offers a clear way to represent the equation of a line.

We'll walk through various example problems, demonstrating how to write the equation of a line in each form, convert between forms, identify slopes, and find intercepts.

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*Timestamps*
00:00 Introduction
00:41 Slope-Intercept Form
02:17 Example
03:29 Point-Slope Form
04:52 Example 1
06:45 Example 2
09:33 Standard Form
10:43 Example

*More About Understand The Math*
Understand The Math provides students and lifelong learners with access to free, straightforward, and engaging mathematics instruction. I’m Cheryl Hile, the founder of Understand The Math, and I’m passionate about ensuring that accurate and engaging mathematics instruction is available to everyone! I have a Ph.D. in Engineering Science and Applied Mathematics and have over 25 years of teaching experience at the university level. This channel provides videos that contain clear explanations, step-by-step problem solving strategies, and carefully worked out example problems. In the video descriptions, you'll find a link to free guided notes. Students can use these notes to highlight concepts and fill in answers to example problems while watching the videos, and later, they can review what they've learned.

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