Slope
What is the slope of a vertical line
Undefined
What does y-intercept refer to on a graph?
The point where the line crosses the y-axis
What is the solution to the equation "2y - 6 = 12"
y = 9
What is a system of Equations
A set of two or more equations with the same variables that are solved simultaneously
What is the horizontal axis on a graph typically called?
x-axis
If a line has a positive slope, what does that indicate
The line is sloping upwards from left to right
If a line has a y-intercept of (0, 4), what does this mean?
The line passes through the point (0, 4) on the y-axis.
Solve for x: 5x - 10 = 20
x = 6
If a system of equations has infinitely many solutions, what does this mean about the lines on a graph?
The lines coincide (completely overlap)
What is the term for a point on a graph that represents a pair of coordinates?
Data Point
If the slope of a line is -2, what does that mean?
The line slopes downwards from left to right
True or False: A line can have multiple y-intercepts on a graph
False
In the equation "2x + 3 = 9", what is the variable?
2x
If two lines on a graph are parallel, what does this indicate about the system of equations they represent?
The system has no solution
What are the two primary axes on a standard graph called?
y-axis and x-axis
Find the slope of a line passing through the points (2, 3) and (5, 7).
4/3
What is the y-intercept of a horizontal line that passes through the point (2, -1)?
(0,-1)
What is the mathematical term for the unknown value in an equation, usually represented by a letter like "x" or "y"?
Variable
What is the solution to the system of equations: x + y = 5, y = 2x - 1?
(3, 2)
what would the meeting point be if the system of equations was x + y = 4 and 2x + 8y = 20
(2,2)
If the equation of a line is written in slope-intercept form (y = mx + b), what does the letter "m" represent?
the slope
How do you find the y-intercept of an equation in slope-intercept form (y = mx + b)?
Look at the value of "b"
What is the term for a mathematical expression that shows two sides are equal?
Equation
What would the system of equations represent the following situation: "A movie ticket costs $10, and a popcorn combo costs $5. You buy 2 movie tickets and 1 popcorn combo, spending a total of $25"?
10x + 5y = 25, x = 2 y = 1
what's the solution called when the two lines don't have a meeting point on the graph
no solution