Unit 3 Flashcards
The horizontal line representing the first dimension of a coordinate plane
X-axis
The vertical line representing the second dimension of coordinate plane
Y-axis
The point of intersection of the x and y-axes,having coordinates (0, 0), and serving as the reference point for locating all other points on the plane
origin
The four major regions separated by the intersection of the x and y-axes
Quadrants
The values, in the form (X, Y), that identify the location of a point
Ordered pair
Each of the values in an ordered pair,!respectively called the X-coordinate and the y-coordinate
Coordinates
A comparison b tween two quantities that are both changing in value
Rate of change
The rate of change for a line and is a measure of steepness of the line
Slope
An equation whose graph is a line, where x and y have powers of 1 (the points of a line are solutions of the line)
Linear equation
The point where a line crosses the x-axis and the ordered pair = (x, 0)
X-intercept
The point where a line crosses the y-axis and the ordered pair = (0, y)
Y- intercept
The equation for a line in the form
y-y1 = m(x-x1)
Where the values x1 and y1 are an ordered pair, (x1, y1) and m= slope
[y-2 = 3(x-1)]
Point-slope form
The equation for a line in the form of
y= mx+b
Where m= slope and b= the y-intercept
[ex: y = 5x + 3, where m=5 and b=3]
Slope-intercept form
The equation for a line in the form
Ax + By = C
Where A, B, and C are integers and A > 0
[ex: 4x - 8y = -5]
Standard form (for a linear equation)
Lines having equal slopes (m1 = m2)
y = 4x + 9 y = 4x - 2
[Note: m1 = m2 = 4]
Parallel lines
