Sec 3 4 Graphing Linear Equations in Standard

Sec 3. 4 Graphing Linear Equations in Standard Form

Horizontal and Vertical Lines Ex #1 Graph each equation: a. y = – 2 b. x = 5 • Horizontal line y – 2 – 2 x = 5 • • y = – 2 x – 3 0 3 • • • x 5 5 5 y 1 3 5 Vertical line All linear equations can be written in Standard Form (of a linear equation): Ax + By = C • When A = 0, your graph will be a horizontal line • When B = 0, your graph will be a vertical line

Using Intercepts to Graph Linear Equations x-intercept – the x-coordinate where a graph crosses the x-axis y-intercept – the y-coordinate where a graph crosses the yaxis To find intercepts from an equation 4 x – The y-intercept is – 6 → (0, – 6) The x-intercept is 3 → (3, 0) 2 y = 1 2 • Set x = 0 to find the y-intercept • Set y = 0 to find the x-intercept Ex# 2: Given the linear equation find the x and y- intercepts and graph

Large Tables Ex #3 You are planning an awards banquet for your school. You need to rent tables to seat 180 people. Tables come in two sizes. Small tables seat 6 people and large tables sit 10 people. The equation 6 x + 10 y = 180 models the situation, where x is the number of small tables and y is the number of large tables. a) Graph the equation using intercepts b) Find four possible solutions for the banquet The y-intercept is 18 → (0, 18) The x-intercept is 30 → (30, 0) Small Tables (10, 12) 10 small, 12 large (0, 18) 0 small, 18 large (20, 6) 20 small, 6 large (30, 0) 30 small, 0 large