Word Power
The specific point where a line crosses the y-axis on a coordinate plane.
What is the y-intercept?
In the linear equation y = 2x + 3, this is the value of the y-intercept.
What is 3?
or the point (0, 3)
This is the immediate first step to solve this system using substitution:
What is replacing y with 3x in the second equation? resulting in 2x + 3x = 10
To eliminate the y variable from this system, this is the arithmetic operation you should perform on the two equations:
What is addition? (adding the equations)
A set of two or more linear equations containing the same variables (also frequently called simultaneous equations in Singapore math).
What is a system of linear equations?
If you graph two linear equations and they cross precisely at the coordinate point (4, -1), this is the solution to the system.
The value of y in the system:
What is 3?
To eliminate the x variable in this system via subtraction, you must first multiply the top equation by this number:
What is 3?
An ordered pair (x, y) that satisfies both equations in a system simultaneously, making both statements true.
What is a solution?
To graph the equation x + y = 5 using intercepts, these are the two distinct points where the line crosses the axes.
What are (5, 0) and (0, 5)?
Solve this system using substitution:
What is (3, 5)?
Solve this system using elimination:
What is (7,3)?
A system of equations that have infinite solutions have lines that...
What is coincide?
If a system of two linear equations has infinitely many solutions, their graphs will look like this on a coordinate plane.
What is the same line? (or coinciding/overlapping lines)
When attempting to substitute x = 3y + 1 into the equation 2x - 6y = 5, the variables drop out and you are left with 2 = 5. This is the number of solutions the system has.
What is no solution?
Solve this system using elimination:
What is (3,2)?
The term used to describe a system of linear equations that has no solution because the lines never meet.
What is parallel lines or inconsistent?
The solution found by graphing the system:
What is (1, 3)?
Solve this system using substitution:
What is (3, 1)?
Solve this system using elimination:
3x + 4y = 10
What is (2,1)?