Problem 1 Writing an Equation Given a Point and the Slope
A line passes through
An equation for the line is
Plan
Is slope-intercept or point-slope form more helpful for writing this equation?
Since the slope and a point (not the y-intercept) are given, point-slope form is more helpful.
✓ Got It?
- What is an equation of the line through
Problem 2 Writing an Equation Given Two Points
A line passes through (3, 2) and (5, 8). What is an equation of the line in point-slope form?
| Know | Need | Plan |
|---|---|---|
| Two points | An equation written in point-slope form | Substitute the slope and either point in the point-slope form. |
Think
Does it matter which point you substitute into point-slope form?
No; you can choose either point as
Let
✓ Got It?
-
- A line passes through
-
Reasoning What is another equation in point-slope form of the line through the points
- A line passes through
Another form of the equation of a line is standard form, in which the sum of the x and y terms are set equal to a constant. When possible, you write the coefficients of x and y and the constant term as integers.
Take Note Key Concept: Standard Form of a Linear Equation
A standard form of a linear equation is
Table of Contents
- 5-1 Polynomial Functions
- 5-2 Polynomials, Linear Factors, and Zeros
- 5-3 Solving Polynomial Equations
- 5-4 Dividing Polynomials
- 5-5 Theorems About Roots of Polynomial Equations
- 5-6 The Fundamental Theorem of Algebra
- 5-7 The Binomial Theorem
- 5-8 Polynomial Models in the Real World
- 5-9 Transforming Polynomial Functions