** Lesson's Content **

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** Lesson's Glossary **

**Absolute value: Distance of a number from zero on a number line. The distance is taken as positive all the time. For a variable: If x < 0 then –a; if x>=0 then a.**

**Equivalent system: A system of equations having the same solution set as another system.**

**Graph of an equation in two variables: All the points that may be graph from the solution set of the equation.**

**Graph of a number: The location of a point paired with a number in the number line.
Graph of an ordered pair: The location in the coordinate plane associated with an ordered pair of real numbers.**

**Inequality: A statement formed by placing an inequality symbol between numerical or variable expressions.
Inequality symbols: Symbols used to show the order of two real numbers. **

** Sides of an inequality: The two expressions at both sides of the inequality sign in an inequality. Left and right.**

**Linear equation: Any equation with all exponents = 1 regardless of the form the equation is represented.
Linear equation in two variables: All equivalent equations to the one in the form of ax + by = c, where a, b, and c are in the set of the real numbers and a and b can't be zero at the same time. The graph is a straight line.
Linear function: A function of the form: f(x) = mx + b.**

**Ordered pair: In a coordinate plane is the location of a point.
Ordinate: The y-coordinate in an ordered pair of the coordinate plane.
Origin: The location of the zero point in a number line.**

**Parallel lines: Lines with the same slope. Lines in the same plane that don't intersect. **

**Perpendicular lines: Lines that intersect or cross at right angles. Multiplying the slopes of perpendicular lines always yield -1. **

**Plot a point: Locating and graphing an ordered pair of real numbers in the coordinate plane. **

**Point-slope form of an equation: Y
- Y _{1} = m(X-X_{1}), where m is the
slope and (X_{1} , Y_{1}) the point for which the line goes through. **

**Slope of a line: The measure of how steep a line is. The change in y (rise) divided by the change in x (run). Slope = m**

**Slope-intercept form of an equation: The equation of a line in the form y = mx + b, where m represents the slope, and be represents the y-intercept.
Solution of an equation in two variables: Any ordered pair of real numbers that makes the sentence true.
Solution of a system of two equations in two variables: Ordered pair that when replaced in the equations produces a true statement for both equations.**

**Solve a system of two equations in x and y: Finding all ordered pairs (x,y) which make both equations in the system true.**

**Standard form of a linear equation: ax + by = c, where a, b, and c are integers and a and b are not both zero.**

**x-intercept: The x-coordinate of a given point for which the graph intersects the x-axis.**

**y-intercept: The y-coordinate of a given point for which the graph intersects the y-axis.**

** Vocabulary Highlights **

**Slope of a line: The measure of how steep a line is. The change in y (rise) divided by the change in x (run). Slope = m**

**Slope-intercept form of an equation: The equation of a line in the form y = mx + b, where m represents the slope, and be represents the y-intercept.**

**Point-slope form of an equation: Y
- Y _{1} = m(X-X_{1}), where m is the
slope and (X_{1} , Y_{1}) the point for which the line goes through.**

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