Slope-Intercept Form Section 5-3 Part 2

Goals Goal Rubric To graph linear equations in slope-intercept form. Level 1 – Know the goals. Level 2 – Fully understand the goals. Level 3 – Use the goals to solve simple problems. Level 4 – Use the goals to solve more advanced problems. Level 5 – Adapts and applies the goals to different and more complex problems.

Vocabulary None

Steps for Graphing y = mx + b You can use the slope and y-intercept from a linear equation in slope-intercept form to graph a line Graphing y = mx + b by Using the Slope and y-Intercept Plot the y-intercept on the y-axis. This is the point (0, b). Obtain a second point using the slope, m. Write m as a fraction, and use rise over run starting at the y-intercept to plot this point. Use a straightedge to draw a line through the two points. Draw arrowheads at the ends of the line to show that the line continues indefinitely in both directions.

Example: Graph the line given the slope and y-intercept. • Rise = –2 • Step 1 The y-intercept is 4, so the line contains (0, 4). Plot (0, 4). • • Step 2 Slope = Count 2 units down and 5 units right from (0, 4) and plot another point. Run = 5 Step 3 Draw the line through the two points.

Example: Graph the line given the slope and y-intercept. slope = 4; y-intercept = Run = 1 Rise = 4 Step 1 The y-intercept is , so the line contains (0, ). Plot (0, ). • Step 2 Slope = Count 4 units up and 1 unit right from (0, ) and plot another point. • Step 3 Draw the line through the two points.

Your Turn: Graph the line given the slope and y-intercept. slope = 2, y-intercept = –3 Step 1 The y-intercept is –3, so the line contains (0, –3). Plot (0, –3). Run = 1 Rise = 2 Step 2 Slope = Count 2 units up and 1 unit right from (0, –3) and plot another point. • • Step 3 Draw the line through the two points.

Your Turn: Graph each line given the slope and y-intercept. slope = , y-intercept = 1 Step 1 The y-intercept is 1, so the line contains (0, 1). Plot (0, 1). Rise = –2 • Step 2 Slope = Count 2 units down and 3 units right from (0, 1) and plot another point. • Run = 3 Step 3 Draw the line through the two points.

Your Turn: Run 3 y-intercept b = -1 Rise 2 slope

Your Turn: Run 2 y-intercept Rise b = 3 -1 slope

Your Turn: Run 1 y = 2x + 1 y-intercept Rise b = 1 2 slope m = 2

Your Turn: Run 1 y = -3x + 2 y-intercept Rise b = 2 -3 slope m = -3

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Assignment 5-3 Part 2 Exercises Pg. 336 - 337: #4 – 38 even