Module 2 · Algebra Foundations
Chapter 10: Linear Functions
Algebra
7 topics
What this chapter covers
The 7 topics below make up Linear Functions on the Digital SAT. Click any topic to open its notes, examples and practice test.
1Slope
2Rate of Change
3Slope Formula
4Equation of Line
5Point-Slope Form
6Slope-Intercept Form
7Standard Form
Study material & tests
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Formula Reference Sheet
This chapter
Slope
| Slope formula | m = (y₂ − y₁)/(x₂ − x₁) |
|---|---|
| Meaning | rise over run; rate of change |
| Parallel lines | equal slopes |
| Perpendicular lines | slopes multiply to −1 |
Forms of a line
| Slope-intercept | y = mx + b |
|---|---|
| Point-slope | y − y₁ = m(x − x₁) |
| Standard | Ax + By = C |
| y-intercept | value of y when x = 0 |
Digital SAT reference
Area & Circumference
| Circle area | A = πr² |
|---|---|
| Circle circumference | C = 2πr |
| Rectangle | A = ℓw |
| Triangle | A = ½ b h |
Volume
| Rectangular box | V = ℓwh |
|---|---|
| Cylinder | V = πr²h |
| Sphere | V = 4⁄3 πr³ |
| Cone | V = 1⁄3 πr²h |
| Pyramid | V = 1⁄3 ℓwh |
Right triangles
| Pythagorean theorem | a² + b² = c² |
|---|---|
| 30°–60°–90° | sides x : x√3 : 2x |
| 45°–45°–90° | sides s : s : s√2 |
Constants
| Degrees in a circle | 360° |
|---|---|
| Radians in a circle | 2π |
| Angles of a triangle | sum = 180° |
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