2D
What is name for the center of the coordinate plane?
the origin
The steepness of a line is measured by the ______.
Slope
(1, -2)
What is the first step when solving a system of equations by substitution?
Step 1: Solve one of the equations for either variable.
How many solutions does a system of parallel lines have?
zero solutions
Extra Credit: How many solutions does a system of intersecting lines have?
How many axes are there in a two-dimensional coordinate system?
two
If you are traveling on a line from left to right, and you are going uphill, the slope of that line is _________.
In which quadrant is the solution to Desmos graph #1?
fourth quadrant
What is the second step when solving a system of equations by substitution?
Step 2: Plug in or “substitute” the value you solved for into the other equation. Then solve for the missing variable.
How many solutions does this system of equations have:
y = 2x + 1
3y = 6x + 3
infinitely many
Extra Credit: Give another example of a system of linear equations with infinitely many solutions.
Which letter of the alphabet is used to refer to the vertical axis?
y
What is the slope of the line y = -2x + 5 ?
negative two (-2)
What is the y-intercept of the equation 4x - 2y = 22 ?
(0, -11)
How do you verify your answer when solving by substitution?
Give an example of a system of linear equations with two solutions.
It is impossible for a system of linear equations to have two solutions.
Extra Credit: This system has two solutions. Can you find them?
y = x^2
y = 4
What is the name for this format of describing a point: (x, y)
ordered pair
What is the slope of the line 2x - 5y = 40 ?
two fifths (2/5)
What is the x-intercept of the equation y = 2x + 8 ?
(-4, 0)
Solve this system by substitution:
y = -3
4x + 5y = 21
(9, -3)
What is the name of this form of a line:
y = mx + b
slope-intercept form.
Extra credit what is the name of this form:
Ax + By = C
What is another name for the coordinate plane?
cartesian plane
What is the slope of the line x = 4 ?
The slope is undefined.
(3, 4)
Solve this system by substitution:
5x - 2y = 26
y + 4 = x
(6, 4)
For whom is the cartesian plane named?
Rene Descartes
Extra Credit: What country is he from?
Bonus Extra Credit: What phrase is he famous for saying?
Super Bonus Extra Credit: What was his other primary area of study?