# DMS Algebra 1: Ch 4

## 19 terms

the 4 regions into which the coordinate plane is divided by the x-axis & y-axis.

(+,+) the quadrant in which both the x & y coordinates are positive.

(-,+) the quadrant in which the x-coordinate is negative & y-coordinate is positive.

(-,-) the quadrant in which both the x & y coordinates are negative.

(+,-) the quadrant in which the x-coordinate is positive & the y-coordinate is negative.

### Linear Equation

An equation whose graph is a line.

### Ax+By=C

standard form of a linear equation; where A, B, & C are real numbers, and A & B are not both zero.

### Linear Function

Ax+By=C, provided B≠0 (B is not equal to zero).

### x-intercept

the x-coordinate of a point where a graph crosses the x-axis.

### y-intercept

the y-coordinate of a point where a graph crosses the y-axis.

### Slope

the ratio of the vertical change (rise) to the horizontal change (run); rise over run; (y2-y1) ÷ (x2-x1)

### Rate of Change

A comparison of a change in one quantity with another quantity; slope.

### y=mx+b

Slope-Intercept Form.

### Parallel

Two lines in the same plane that do not intersect.

### Direct Variation

y=ax; given that a is a non-zero number; y is said to vary directly with x.

### Constant of Variation

the non-zero constant 'a' in a direct variation equation 'y=ax'.

### Function Notation

f(x)=mx+b; f(x)=y; read as "the value of f at x" or "f of x".

### Family of Functions

a group of functions with similar characteristics.

### Parent Linear Function

f(x)=x; the most basic function form; all functions are built off of this.

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