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# Pre-Algebra Chap 4

### Pre-Algebra Chapter 4

TermDefinition
Linear Equation An equation whose graph is a line y = x − 1
Solution of a Linear Equation All of the points on a line
Slope The slope m of a line is a ratio of the change in y (the rise) to the change in x (the run) between any two points (x y x y 1 1 2 2 , and , ) ( ) on a line. It is a measure of the steepness of a line.
Rise The change in y between any two points on a line
Run The change in x between any two points on a line
X-Intercept The x-coordinate of the point where a line crosses the x-axis
Y-Intercept The y-coordinate of the point where a line crosses the y-axis
Slope-Intercept Form A linear equation written in the form y mx b = + is in slope-intercept form. The slope of the line is m, and the y-intercept of the line is b.
Standard Form The standard form of a linear equation is ax by c + = , where a and b are not both zero.
Point-Slope Form A linear equation written in the form y y m x x − = − 1 1 ( ) is in point-slope form. The line passes through the point (x y 1 1 , ,) and the slope of the line is m.
Created by: jkuecker