Math Reviewer - Cartesian Coordinate Plane PDF

MATH REVIEWER - CARTESIAN COORDINATE PLANE TERMINOLOGIES René Descartes - French Philosopher, mathematician, and scientist ____________________________...

MATH REVIEWER - CARTESIAN COORDINATE PLANE TERMINOLOGIES René Descartes - French Philosopher, mathematician, and scientist ____________________________ Born : March, 1596 Died : February 11, 1650 PYTHAGOREAN THEOREM The Cartesian Coordinate Plane was A Theorem that is used to solve the conceived through looking at a plane and a lengths of the sides of a right triangle fly. A right triangle is a triangle that contains a right angle PARTS OF THE CARTESIAN COORDINATE PLANE X-Axis - Horizontal number line Y-Axis - Vertical number line ORIGIN Located at (0,0) The point of intersection of the x and y - axes QUADRANTS - A and B are the legs of the right The regions bounded by the two triangle number lines of the Cartesian Plane - C is the hypotenuse, the longest side and the side opposite the right angle ORDERED PAIR (X,Y) A pair of numbers that correspond to The square of the hypotenuse is equal to the each point in the plane sum of the two legs. The ordered pair associated with a point is called the COORDINATES of the point ABSCISSA (X,Y) The x-coordinate Horizontal distance of a point from the y-axis ORDINATE (X,Y) The y-coordinate Vertical distance of a point from the ____________________________ x-axis NOTE : LINEAR EQUATIONS & If a point lies on the x-axis, the INEQUALITIES IN 2 VARIABLES ordinate (y) will be 0 If a point lies on the y-axis, the abscissa (x) will be 0.  LINEAR EQUATIONS IN 2 GRAPHING LINEAR EQUATIONS BY TABLE OF VALUES AND INTERCEPTS VARIABLES INTERCEPTS - Points where the line crosses A first degree equation with infinite the x- and y- axes number of solutions The standard form is ax + by = c, Ex : where a, b, and c are real numbers. (4, 0) X-intercept A linear relationship can be Point where a line crosses the x-axis represented by – a set of ordered pairs, a graph, and a linear (0, 4) equation Y-intercept The set of points (set of ordered Point where a line crosses the y-axis pairs) on the line are the solution sets of a linear equation in two STEPS : variables. 1. Solve for the x- and y- intercepts 2. Identify the set of ordered pairs of the VERTICAL LINES have the same intercepts x-coordinates 3. Plot and connect points on the coordinate plane HORIZONTAL LINES have the same 4. Use the equation to label the y-coordinates graph/line SLANTING LINES - RIGHT have the same x What if? y-coordinates X = 8 (Vertical Line) SLANTING LINES - LEFT (all x coordinates are equal to 8) =x+y=5 Y = -3 There are three different methods when it (all y coordinates are equal to -3) comes to graphing linear equations in 2 ____________________________ variables. These methods are … 1. Table of Values 2. Intercepts SLOPE OF A LINE 3. Slope-Intercept form ____________________________ SLOPE Making a large angle with the plane of GRAPHING L.E IN TWO VARIABLES a horizon - The graph of a linear equation is a Steepness of a line line. SLOPE OF A LINE STEPS : “Monter” “to climb” in French or 1. Solve for the value of y using the Modulus of Slope corresponding values of x Steepness of the line 2. List down the set of ordered pairs 3. Plot and connect the points on the coordinate plane 4. Use the equation to label the graph/line GIVEN A GRAPH