Graphing Linear Equations Using SlopeIntercept Form Objective Students

Graphing Linear Equations Using Slope-Intercept Form ● Objective ● ● Students graph linear equations on a coordinate plane by using the slope-intercept form of a linear equation. Standard ● 7. 0 Students verify that a point lies on a line, given an equation of the line. Students are able to derive linear equations by using the point-slope formula. © Eugene Ruben Ramirez

Vocabulary Slope-intercept Form: An equation is in slope intercept form if it is solved for y and the constant is the second term on the right. slope y-intercept Recall: y-intercept: The point at which the graph crosses the y-axis. © Eugene Ruben Ramirez

Identify Slope and y-intercept Example 1: Find the slope and y-intercept of each equation. © Eugene Ruben Ramirez

Identify Slope and y-intercept Practice 1: Find the slope and y-intercept of each equation. © Eugene Ruben Ramirez

Graphing Using Slope Intercept Form y=mx+b Is equation in y=mx+b form? No Use Inverse Operations to solve for y Yes Plot y-intercept (0, b) Equation should look like y=mx+b Use to find next point Draw a Line Through the Points © Eugene Ruben Ramirez

Example 1: Graph y-intercept= -3 What is the y-intercept? What is the slope? How do we write it as a fraction? Is equation in y=mx+b form? Yes Plot y-intercept (0, b) y Use 1 4 x to find next point Draw a Line Through the Points

Practice 1: Graph y-intercept= 1 What is the y-intercept? Is equation in y=mx+b form? Yes What is the slope? y Plot y-intercept (0, b) Use 3 2 to find next point x Draw a Line Through the Points

Practice 2: Graph y-intercept= -3 What is the y-intercept? What is the slope? The negative is in the front, we need to choose if it goes with the numerator or denominator, but NOT BOTH. y Is equation in y=mx+b form? Yes Plot y-intercept (0, b) Use to find next point x Draw a Line Through the Points -3 5

Practice 3: Graph y-intercept= -4 What is the y-intercept? What is the slope? y The negative is in the front, we need to choose if it goes with the numerator or denominator, but NOT BOTH. Is equation in y=mx+b form? Yes Plot y-intercept (0, b) Use -2 to find next point x 7 Draw a Line Through the Points