How do you graph linear equations using the slope-intercept form?

Graphing linear equations is an essential skill in algebra and is often used to model real-world situations. The slope-intercept form of a linear equation is y = mx + b, where m is the slope of the line and b is the y-intercept.

To graph a linear equation using the slope-intercept form, you first need to identify the slope and y-intercept. The slope is the coefficient of x (m), and the y-intercept is the constant (b).

To plot the y-intercept, locate the point on the y-axis where the line crosses. Then, use the slope to find additional points. The slope tells you how much the y-value changes for each unit change in the x-value. For example, if the slope is 2/3, you would rise 2 units and run 3 units to find another point on the line.

Once you have two or more points, connect them with a straight line to graph the equation. It's a good idea to check your work by plugging in other x-values and making sure they fall on the line.