I find my Algebra students very comfortable with slope intercept form for equations of lines. Many students will take a standard form equation and convert it into slope intercept form to graph the line. When we get to linear programming, all of the constraints are typically in standard form. I encourage my students to find the intercepts to help determine the scale for the axes. I created this worksheet to help students better understand standard form equations of lines. I adjusted the Frayer model a little to say formula in place of definition. This page can be used as a formative assessment or guided instruction. Students are then asked to convert linear equations into standard form. The characteristics for standard form for linear equations in the Frayer model will help students properly write the equivalent equation. Next, the x-intercepts and y-intercepts are found in order to graph the equation.
Page 1: Frayer Model for Standard Form Linear Equations
Page 2: Writing Equivalent Equations for Lines in Standard Form and Graphing (1 example and 2 problems)
Page 3: Three practice problems
Pages 4-6: Answer Key
Extension: ask students to create their own standard form linear equation, find the slope, intercept and graph it.