Algebra 1: Point-Slope Form Flashcards

Questions and Answers

What is the slope of the line represented by the equation $y = -\frac{1}{2}x + 4$?

1/2

-1/2 (correct)

What point does the line $y = 4x + 8$ pass through?

(−1, 4)

The line represented by $y = -\frac{5}{2}x + 2$ has a slope of -5/3.

False

Through which points does the line $y = -\frac{1}{2}x + 9$ pass?

(-4, 6) and (-2, 5) Signup and view all the answers

What two points does the line $y = 5x - 2$ pass through?

(-1, -7) and (1, 3) Signup and view all the answers

Which equation is equivalent to $y = \frac{1}{4}x - 2$?

y + 5 = \frac{1}{4}(x + 2) Signup and view all the answers

Match the following equations with their forms:

$y = 2x + 6$ = Y = 2(x + 3) $y = -3x + 5$ = y - 8 = -3(x + 1) $y = -\frac{1}{5}x - 3$ = Y + 3 = -\frac{1}{5}x Signup and view all the answers

Study Notes

Point-Slope Form Overview

Represents linear equations in the format y = mx + b, where m denotes the slope and b is the y-intercept.
The slope represents the steepness of the line and direction (positive or negative).

Specific Linear Equations

y = -1/2x + 4
- Slope: -1/2
- Passes through the point (2, 3).
y = 4x + 8
- Slope: 4
- Passes through (-1, 4).
y = -5/2x + 2
- Slope: -5/2
- Passes through the y-intercept (0, 2).
y = -1/2x + 9
- Slope: -1/2
- Passes through multiple points: (-4, 6) and (-2, 5).
y = 5x - 2
- Slope: 5
- Passes through prominent points: (-1, -7) and (1, 3).
y = 1/4x - 2
- Can be expressed in point-slope form as: y + 5 = 1/4(x + 2).
y = 2x + 6
- Also can be rewritten as: y = 2(x + 3).
y = -3x + 5
- Expressed as: y - 8 = -3(x + 1).
y = -1/5x - 3
- Can be rearranged as: y + 3 = -1/5x.

General Concepts

Each equation exemplifies the relationship between slope and specific points on the line.
Point-slope form is useful for quickly identifying characteristics of linear equations, including slope direction and intersecting coordinates.

Description

Explore key concepts of the point-slope form in Algebra 1 with these flashcards. Each card features a linear equation along with its corresponding slope and points. Perfect for quick revision and understanding the fundamentals of linear relationships.