【ベストコレクション】 x-y=3 graph the linear equation 185988-Graph the linear equation 1 3 x − 6 = y

Use intercepts to graph linear equation (example) We can use intercepts to graph linear equations in the same way we would use two points Remember, the x and yintercepts are also points on the graph Let us suppose we need to graph a linear equation with a yintercept of 3 and an x intercept of 2 This tells us two points on the graph

Graph the linear equation 1 3 x − 6 = y-EXAMPLE Graph the equation x = 3 NOTICE that the equation x = 3 does not mention y This equation could be written as In this case no matter what value y has, because y is multiplied by 0, x will always be 3 This graph will be a 03⋅= yx vertical line through the point where x = 3 Add 2 x to both sides Divide each term by −4 x y (3, 0) (3, 4) (3,− 4) x y The solution of a linear equation in two variables is a pair of numbers, they are x, and y which satisfies the equation The example equation is x 3y = 12 Some of the solutions are (0, 4), (12, 0), (3, 3), (2, 6) Properties for the graphing linear equation Every linear equation has infinite solutions