Unit 6 Lesson 12 Slope Intercept Form Standards
- Slides: 12
Unit 6, Lesson 12 Slope. Intercept Form Standards: 6. 0, 8. 0 Objectives: Find the slope and y-intercept. Graph a line.
Slope-Intercept Form n n The linear equation y = mx + b is written in slopeintercept form. x and y stand for any x and y value. n m is the slope (rise over run) n b is the y-intercept (on the y-axis) y = mx + b
Identify slope and yintercept y= mx + b m is always slope, and b is always the y-intercept. 1) y = 4 x + 5 2) y=½x– 7 3) y=x–¾ 4) y = -x + 3 5) y=x 6) y=4 7) x=2
Identify slope and yintercept y = mx + b If you have the graph, 1) Find the yintercept 2) Count rise over run 3) Write the equation
Slope n n Write the equation in slope-intercept form. y = mx + b
Slope n Write the equation.
Slope n n Write the equation in slope-intercept form. y = mx + b
Slope-Intercept Form n n Slope-intercept form is the easiest way to graph a line when you have an equation. It is the main way that lines are expressed. Y=x+2
Graph Lines n How will we graph a line when we have y=mx + b? Example: y = -3 x + 2 m= _____ b = _______ 1) Plot the y-intercept 2) Use your slope to count rise over run 3) Connect the dots!
Graph Lines n How will we graph a line when we have y=mx + b? Example: y = 2/3 x - 4 m= _____ b = _______ 1) Plot the y-intercept 2) Use your slope to count rise over run 3) Connect the dots!
Graph Lines n 1) 2) 3) 4) Identify the slope and y-intercept, then graph the linear equation. y y = = 2 x + 3 -½x - 1 5/ x + 8 6 x -7
Review 1) 2) 3) How do you graph when you have slope-intercept form? What does b represent? What do the equation and graph look like if b=0?