Slope-Intercept Form Go through the slide show. Read each slide carefully. On lined paper answer the questions from the “Answer the following questions” slides. If you can’t answer them or feel like you are guessing look back at the slides or ask for help.

Slope-Intercept Form O Slope-Intercept form is when an equation is written as y = mx + b O That means the y= is on the left side, then there is an x term plus a number

Answer the following questions

The Parts of the Equation Notice what to do if there is just an x or no number being added

Answer the following questions

The y-intercept on the graph O The y-intercept is where the line crosses the y-axis

Answer the following questions Find the y-intercept for each graph 10) 11) 12) 13)

The y-intercept from tables O The y-intercept is the y-value paired with x = 0 Examples 1) The y-intercept is 3 2) The y-intercept is -4 xy xy

Answer the following questions O Find the y-intercept from the table 14) xy ) xy

The y-intercept from ordered pairs O The y-intercept is the y-value in the ordered pair that has x=0 Examples 1)(0, 15) The y-intercept is 15 2)(0, -4) The y-intercept is -4

Answer the following questions O Find the y-intercept from the list of ordered pairs 16) (3, 15) (0, 14) (-3, 13) 17) (-1, 0) (0, 1) (1, 2) 18) (2, 2) (1, 1) (0, 0)

Writing Equations

Writing Equations Examples O Write an equation of the line with the given slope and y-intercept

Answer the following questions

Writing Equations Continued O To write an equation in slope-intercept form you must know the slope and the y-intercept O That information can be given directly, found from the graph, ordered pairs or tables of values

Writing Equations From the Graph Y-intercept

Answer the following questions 22) Write an equation for the line graphed below 23) Write an equation for the line graphed below

Writing Equations from ordered pairs O Find the slope using the slope formula O Find the y-intercept (the y-value in the ordered pair that has x = 0)

Answer the following questions O Write an equation of the line. 24)Through the points (14, 6) and (0, 1) 25)Through the points (-7, 10) and (0, 8) 26)Through the points (0, -12) and (-4, 9)

Writing Equations from table of values Example 1xy

Answer the following questions Write an equation for each table of values 27) xy ) xy xy )

Write equations from applications O Read the story problem and determine the slope (the rate of change – usually has “per”) O Determine the y-intercept (the initial amount or constant amount)

Answer the following questions O Write an equation for each of the applications 30)Barbara’s goal is to log running 50 miles by the end of the year. She runs 4 miles per week and has already logged 22 miles. 31)To rent a car there is often a fee and a mileage charge. Budget charges $65 and $0.55 per mile 32)Brad is losing 0.5 pounds per week. His starting weight was 285 pounds.

You should now be able to… O Identify the slope and y-intercept from an equation O Write an equation in slope-intercept form

Practice Time O Practice by going to: /kp_hotmath_sound.swf