# Linear Equations in College Algebra Flashcards

Linear Equations in College Algebra Flashcards

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## Flashcard Content Overview

This flashcard set will help you understand linear equations including slope, x- and y-intercepts, and systems of equations. Use this set to test your linear equation knowledge and skills to prep you for questions you may encounter on your College Algebra exam.

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Two points on a line are (2,2) and (3,1). Find the slope of the line.

The slope of the line is -1 (m = -1)

Parallel lines

**always/never**have the same slopeParallel lines

**always**have the same slopeTwo points on a line are (2,2) and (3,1). Find the y-intercept of the line.

The y intercept is (0,4)

The line y = -x + 4

**will/will not**enter the third quadrantThe line y = -x + 4

**will not**enter the third quadrantIn the equation y = mx + b, m stands for _____ and b stands for _____

m = slope and b = y-intercept

The three main ways to solve a system of equations are _____, _____ , and _____ .

Graphing, substitution, and elimination are the three main ways to solve a system of equations

Solve this system of equations

2x + y = 4

x + 2y = 2

2x + y = 4

x + 2y = 2

(2,0)

Find the slope and y-intercept of the following equation: 2y = 4x + 5

m = 2

y-intercept = (0,5/2)

y-intercept = (0,5/2)

The line y = 3/4x + 5 will be

**parallel/perpendicular**to the line y = -4/3x -3These lines will be

**perpendicular**The equation for the line shown below is _____

y = 3x+2

The x and y intercepts of 4x + 2y = 8 are _____

x-intercept = (2,0) and y-intercept = (0,4)

If a line is completely vertical, that line has a(n)

**undefined/zero**slope.If a line is completely vertical, that line has an

**undefined**slopeIf a line is completely horizontal, that line has a(n)

**undefined/zero**slope.If a line is completely horizontal, that line has a

**zero**slopeThe slope of the line shown below is _____

The slope of the line is 3 (m=3)

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- Go to Studying for Math 101

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