Basic Concepts
Graphing Lines
Solving Equations
Systems of Equations
Real-World Application
100

The formula used to represent a linear equation in slope-intercept form.

y=mx+b

100

The point where the line crosses they y-axis

y-intercept

100

The value of x when 3 x+2 =11

x=3

100

The method of solving systems using y=mx+b and another similar equation by finding intersection.

Graphing

100

The linear model y=50x+200, represents y, the total cost, and x, ________________.

Number of items purchased

200

In the equation y=2x+3, this is the slope.

2

200

The method to graph a line using the slope and y-intercept.

Slope-intercept method

200

The first step in solving the equation 2 (x+3) =12

Distribute the 2

200

The technique of adding or subtracting equations to eliminate one variable.

Elimination method

200

In a real-world problem, this value represents the initial condition in a linear model.

y-intercept

300

The process of solving for 'y' in the equation 4y+2x =12.

Isolating the variable y

300

The coordinates where two linear graphs intersect.

Point of intersection

300

The solution to the equation 5x -15 = 0

x = 3

300

When using substitution, if both equations equal to x, this is the next step.

Set the equations equal to each other

300

The slope in a linear equation modeling a car's speed in km/h compared to time.

rate of travel or speed

400

Form of a linear equation represent by Ax +By = C

Standard Form

400

The number of solutions for a system of linear equations that have parallel lines.

Zero.

400

The solution to the equation y= -3x+6 when y=0.

x=2

400

The solution for the system: x+y=5 and x-y=1.

(3,2)

400

The equation y=30x models Juliet's water consumption per minute. How much is consumed in 3 minutes?

90 liters

500

The term used to describe the steepness of the line in a linear equation.

Slope

500

A line that makes an angle of 45 degrees with the x-axis has this slope.

m= 1

500

The equation 2x-3y=6 when solved for y.

y= (2/3)x - 2

500

An example of the result when you find a solution that makes both original equations true.

Point of intersection

500

If a company paid $1500 in fixed costs and $15 per unit of product, this represents the variable cost in the equation y=15x+1500.

$15