Standard Form with Negative Coefficients

Question:
Graph the equation 5x minus 2y equals 10 using the standard form method. Find both intercepts algebraically, plot them on a graph, and draw the line. Then determine three points that lie on this line and verify that each one satisfies the original equation.

Standard Form with Negative Coefficients

This lesson teaches how to graph a linear equation written in standard form by finding the x-intercept and y-intercept algebraically. Students also convert to slope-intercept form to confirm intercepts and verify additional points on the line.

In this lesson, you will learn to:
• Find the x-intercept and y-intercept of a linear equation in standard form by substituting zero for each variable
• Convert a linear equation from standard form to slope-intercept form to identify the slope
• Plot intercepts and additional points on a coordinate plane and draw the corresponding line
• Veri