21+Graphing+Linear+Equations+Using+Slope-Intercept+Form

   Slope-Intercept Form – An equation of the form y = mx + b is in slope-intercept form. When an equation is written in this form, you can determine the slope and y-intercepts of its graph.

The linear equation y= mx + b is written in slope-intercept form, where:

m = slope b = y-intercept

Write an equation of the line whose slope is 3 and whose y-intercept is 5. //y// = //mx// + //b// //y = 3x + 5

y = mx + b
 * Formulas:

**// 1) The y intercept will be the first point that you plot on your line. Your point will always be (0, b). 2) Then, you use your slope to plot the next point. 3) If you have two points, you mane a straight line and that is the line that represents your equation. Any point on that line will be a solution to your equation. 4) Extra Tip: You have to be accurate when plotting your points and making your lines, so you can read your graph to find other solutions
 * Rules for Graphing Using Slope Intercept Form**



Example 1: M=, B= (0, -3) Y=mx+b Y= x-3 First, go to the y-intercept, which is -3, so plot the point (0, -3). Go to the (0, -3) and plot the next point up 1 line and over 2 lines. Continue to plot points until you run out of room. Also, go to (0, -3) and plot the points down 1 line and over to the left 2 lines.

Example 2:

M= 4, b= (0,5) Y= mx+b Y= 4x+5

First, plot the y- intercept. The y- intercept is 5, so plot the point (0,5). Next, go to (0,5) and go up 4 lines and over to the right 1. Continue to do plot the point until you run out of room. Also plot points over to the left 1 and down 4. Finally draw a line with arrows on both ends.

Example 3:

M= b=5 Y=mx+b Y= x+5 First, plot the y-intercept on the graph. The y- intercept is 5 so plot (0,5) on the coordinate plane. Second, plot the slope. The slope is. The rise is 2 and the run is 3. Plot the next point up 2 and over 3 to the right and continue to do that. Also, plot points down 2 and to the left 3.Finally draw a line through the points with arrows on both sides.



Useful Links: Graphing Using Slope Intercept Form 1 Graphing Using Slope Intercept Form 2 Graphing Using Slope Intercept Form 3