Algebra I Chapter 5

Warm Up What is slope? What is the y-intercept?

Re-teach Slope- intercept form y= mx + b m = slope b= y intercept (or where it crosses the y axis)

Re-teach If given the slope (m is ¼) and the y intercept (b is 9). Write an equation of the line. y = 1/4x + 9

Practice Directions: Write the following in slope- intercept form. 1. m is -¾ y is m is -5y is 3 3. slope is ½ y is ¾ 4. m is -2y is -5/6 5. slope is 0 y is 1

Warm Up What is an equation of a line? What is the slope-intercept form? Are they related?

Practice Directions: Write the equation of the line given the slope m= 3 and the points (-2, 12).

Re-teach Example: Given the slope m= -1 and the points (4, 2). Step 1- Write the formula for equation of a line y = m(x-h) + k Step 2- Substitute numbers into the equation. Step 3 – Distribute and add or subtract like terms. Step 4 – Write the equation of a line.

Re-teach Step 1- Write the equation of a line y = m(x – h) + k Step 2- Substitute numbers into the equation. m = -1p (4, 2) y = -1(x – 4) + 2

Re-teach Step 3 – Distribute and add or subtract like terms. y = -1x y = -x + 6 Step 4- Write the equation of a line. y = -x + 6

Discuss How do you check if your equation is correct?

Practice Directions: Given the worksheet pair up with a partner or group to practice the problems. Submit all worksheets to the bin. *You may complete this on whiteboards as long as you show your answer on the sheet*

Warm Up What is the equation to find slope? How do I find slope given two sets of points? Ex: ( 1, 5) (6, 4)

Re-teach Step 1 – Label your points Step 2- Plug in to find slope Step 3- Choose one of the points Step 4- Plug in the set of points and the slope in the equation of the line. Step 5- Distribute and add or subtract like terms. Step 6- Write the final equation.

Re-teach Step 1 – Label your points ( 2, 1) (6, 3)

Re-teach Step 2- Plug in to find slope (2, 1) (6, 3)

Re-teach Step 3- Choose one of the points ( 2, 1) (6, 3) Step 4- Plug in the set of points and the slope in the equation of the line. y = ½(x – 6) + 3

Re-teach Step 5- Distribute and add or subtract like terms. y = ½ x – 3 + 3y = ½ x Step 6- Write the final equation with slope and the y intercept. y = ½x

Practice Directions: Use the following steps to solve the following problems. Step 1 – Label your points Step 2- Plug in to find slope Step 3- Choose one of the points Step 4- Plug in the set of points and the slope in the equation of the line. Step 5- Distribute and add or subtract like terms. Step 6- Write the final equation with slope and the y intercept. (-8, -4) (4, 2)(-4, 3) (-1, -7)(2, 12) (1,7)

Warm Up What is a best fitting line? What is positive correlation? What is negative correlation?

Activity Directions: 1. Create groups of 3 or 4 2. Gather supplies needed –IKEA Ruler –T chart –Graph paper 3. Tape rulers to the ground. 4. Each person in the jumps a total of 5 times. 5. Record your data after each jump. 6. Create a scatter plot of your data. 7. Explain the correlation of your graph.

Warm Up What is standard form? What is slope-intercept form?

Re-teach Standard Form Ax + By = C OR 4x + 3y = 12

Re-teach Writing an Equation in Standard Form from Equation of a line Step 1- Write the original equation Step 2- Multiply by the number with x Step 3- Distribute Step 4- Subtract x from both sides

Re-teach Writing an Equation in Standard Form from Equation of a line Step 1- Write the original equation y = 3x- 8 Step 2- Subtract x from both sides -3x + y = -8 *Remember* Standard form can be written in more than one way 3x – y = 8

Practice Complete the problems given to you on the flashcard. When finished put it in the bin!

Practice Directions: Pair up and complete the worksheet given to you. Put it in the bin when finished!

Review What do we need to go over?