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
3x + 2 = 11
x=3
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 meaning of the "m" in y=mx+b.
Slope
The first step in solving the equation 2 (x+3) =12
Distribute the 2
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 way the line looks on the graph if the slope is negative.
Downhill Line or Decreasing Line.
The solution to the equation 5x - 15 = 0
x = 3
The equation to find the total earnings, y, if you start with $500 in your account and every week, x, you add $100.
y = 500 + 100x
OR
y = 100x + 500
Form of a linear equation represent by Ax +By = C
Standard Form
The solution of a linear equation based on the graph.
A point on the line.
The solution to the equation y= -3x+6 when y=0.
x=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
The x-intercept of the line 4x-3y=12.
x=3 or (3,0)
The equation 2x-3y=6 when solved for y.
y= (2/3)x - 2
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