Terms Related to the Cartesian Coordinate System
is a plane defined by two perpendicular number lines.
cartesian plane
What is the abscissa of the point A(- 3, 2)
- 3
is a relationship between two variables x and y.
function
How do you find the slope of a line?
m = rise / run
What is the slope-intercept form of a linear equation?
y = mx + b
The vertical line in the cartesian plane is called what?
y-axis
On what quadrant does the point (3, - 4) belong?
IV
What is the value of the function y = 3x + 2 when the input is 7?
23
means that a line goes downward as you move from left to right on the Cartesian plane.
negative slope
what is the slope of the equation y = - 4x + 7
m = - 4 / 1
is the point of intersection of the x-axis and y-axis, represented as (0, 0).
origin
is the point where a graph crosses the x-axis.
At this point, the y-value is always 0.
x-intercept
All the possible input values (or x-values) a function can accept.
Domain
happens when the line is flat and horizontal.
zero slope
what is the y-intercept of the equation y = 7x - 2
(0, - 2)
is a set of two numbers used to locate a point on the Cartesian plane, written as (x, y).
ordered pair
The position of a point reached by moving upward and to the left from the origin.
Quadrant II
Based on the inputs and outputs, what do you think is the function rule?
Input: 2 → Output: 9
Input: 4 → Output: 13
Input: 6 → Output: 17
y = 2x +5
happens when the line is vertical.
Undefined slope
Rewrite the equation 6x - 3y = 12 in slope-intercept form.
y = 2x - 4
The four regions created by the x-axis and y-axis.
quadrants
If the graph crosses the y-axis at –2, the y-intercept is
(0, – 2)
If y = 2, what is the value of x in the function y = - 4x - 6?
- 2
Given the points A(2, 5) and B(6, 1), what is the slope of the line passing through them?
- 1
m = 2
y-intercept: (0, 3)