Writing Linear Equations

Definitions

100

A statement of two mathematical expressions are equal. 

What is an equation? 

200

Extending along a straight or nearly straight line.

What is linear?

300

A symbol which works as a placeholder for an expression

What is a variable? 

400

A variable whose variation does not depend on that of another.

What is an independent variable? 

500

A variable (often denoted by y ) whose value depends on that of another.

What is a dependent variable? 

Linear Equations

100

y=mx+b

What is slope-intercept form? 

200

y-y₁=m(x-x₁)

What is point-slope form? 

300

Ax+By=C

What is standard form for linear equations? 

400

What is the point in the following equation? y-8=4(x-1)

(1,8)

500

What is the slope of the given equation? y-1=27(x-54)

27

Finding Slope

100

What is the slope of the equation y=5x+7

5

200

What is the slope of the equation y-2=3(x-6)

3

300

What is the slope of the equation x=8?

The slope is undefined. 

400

What is the slope of the equation y=7? 

0

500

Find the slope of the equation x=6y+4

1/6

Writing Equations

100

Solve for x: 9=3x

x=3

200

Solve for x: 16=x²

x=-4,4

300

Rewrite the following equation in slope-intercept form: 7x+4y=24 

y=-7/4x+6

400

Given the slope, m=6 and the y-intercept, y=8. Write an equation in slope-intercept form.

y=6x+8

500

Given the following slope and point, write an equation in point-slope form: m= 5/2 point: (3,2) 

y-2=5/2(x-3)

Random

100

Solve for x: 6=3x

x=2

200

What is the slope of a linear graph that starts at the origin and goes up 4 and over 2?

The slope is 2

300

What does "b" represent in y=mx+b

The y-intercept. 

400

Solve for x: y-8=12(x-2)

x=4/3

500

Is x=6 a solution to the equation 4(x-2)+8=16? 

No