Solution of a Linear Equation An ordered pair ( x , y ) is a solution of the linear equation A x + B y = C , if the equation is a true statement when the x - and y - values of the ordered pair are substituted into the… Points with a y -coordinate equal to 0 are on the x -axis, and have coordinates ( a , 0 )

Sign Patterns of the Quadrants Quadrant I Quadrant II Quadrant III Quadrant IV ( x , y ) ( + , + ) ( - , - ) ( + , - ) Quadrant I Quadrant II Quadrant III Quadrant IV ( x , y ) ( + , + ) ( - , - ) ( + , - ) Points with an x -coordinate equal to 0 are on the y -axis, and have coordinates ( 0 , b )

linear equation — A linear equation is of the form A x + B y = C , where A and B are not both zero, is called a linear equation in two variables. rectangular coordinate system — A grid system is used in algebra to show a relationship between two variables; also called the xy -plane or the ‘coordinate plane’. equation — a true statement when the x - and y - values of the ordered pair are substituted into the…. ordered pair — An ordered pair ( x , y ) gives the coordinates of a point in a rectangular coordinate system.

Be able to graph a Linear Equation by Plotting Points Step 1. Find three points whose coordinates are solutions to the equation. Organize them in a table; find the x - and y - Intercepts from the Equation of a Line Use the equation of the line to find the x - intercept of the line, let y = 0 and solve for x; use the equation of the line to find the y - intercept of the line, let x = 0 and solve for y.