Download Chapter 5 Linear Equations and Functions Words to Know

Linear Equations and Functions
Words to Know
Linear equation

An equation whose graph is a straight line
y=x-4
6
1
-10
-5
0
-4
-9
-14
5
10
Slope (M)



A measure of the steepness of a straight line
Tells how fast one variable changes
compared with the other.
Rise over run
y1 y2
M
x1 x2
A
M
B
Rise

The change between two points on a line in
an up-and-down direction
Rise y1 y2 A
M


Run x1 x2 B
Run

The change between two points on a line in
a left-to-right direction
Rise y1 y2 A
M


Run x1 x2 B
X-intercept


The x-value of an ordered pair at the point
where a line crosses the x-axis
The x-value when the y-value is 0 (x,0)
C
x  int ercept 
A
Y-intercept (b)


The y-value of the ordered pair at the point
where a line crosses the y-axis
The y-value when the x-value is 0.(0,y)
C
y  int ercept (b) 
B
Slope-intercept form
y  mx  b


m is the slope.
b is the y-intercept
Standard form
Ax  By  C
Direct variation
y  kx


K is a positive number.
As one variable increases, the other
increases.