Basic Concepts
The formula used to represent a linear equation in slope-intercept form.
y=mx+b
The point where the line crosses they y-axis
y-intercept
The value of x when 3 x+2 =11
x=3
The method of solving systems using y=mx+b and another similar equation by finding intersection.
Graphing
The linear model y=50x+200, represents y, the total cost, and x, ________________.
Number of items purchased
In the equation y=2x+3, this is the slope.
2
The method to graph a line using the slope and y-intercept.
Slope-intercept method
The first step in solving the equation 2 (x+3) =12
Distribute the 2
The technique of adding or subtracting equations to eliminate one variable.
Elimination method
In a real-world problem, this value represents the initial condition in a linear model.
y-intercept
The process of solving for 'y' in the equation 4y+2x =12.
Isolating the variable y
The coordinates where two linear graphs intersect.
Point of intersection
The solution to the equation 5x -15 = 0
x = 3
When using substitution, if both equations equal to x, this is the next step.
Set the equations equal to each other
The slope in a linear equation modeling a car's speed in km/h compared to time.
rate of travel or speed
Form of a linear equation represent by Ax +By = C
Standard Form
The number of solutions for a system of linear equations that have parallel lines.
Zero.
The solution to the equation y= -3x+6 when y=0.
x=2
The solution for the system: x+y=5 and x-y=1.
(3,2)
The equation y=30x models Juliet's water consumption per minute. How much is consumed in 3 minutes?
90 liters
The term used to describe the steepness of the line in a linear equation.
Slope
A line that makes an angle of 45 degrees with the x-axis has this slope.
m= 1
The equation 2x-3y=6 when solved for y.
y= (2/3)x - 2
An example of the result when you find a solution that makes both original equations true.
Point of intersection
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