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-teachIf 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 -82. m is -5 y is 33. slope is ½ y is ¾ 4. m is -2 y 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-teachExample: 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 liney = m(x – h) + k

Step 2- Substitute numbers into the equation.

m = -1 p (4, 2)

y = -1(x – 4) + 2

Re-teach

Step 3 – Distribute and add or subtract like terms.

y = -1x + 4 + 2 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 pointsStep 2- Plug in to find slopeStep 3- Choose one of the pointsStep 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-teachStep 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-teachStep 5- Distribute and add or subtract

like terms. y = ½ x – 3 + 3 y = ½ x

Step 6- Write the final equation with slopeand the y intercept.

y = ½x

Practice

Directions: Use the following steps to solve the following problems. Step 1 – Label your pointsStep 2- Plug in to find slopeStep 3- Choose one of the pointsStep 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 slopeand 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 42. 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 FormAx + 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 xStep 3- DistributeStep 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?