Name Date Period Topic SlopeIntercept Form Essential Question

Name: Date: Period: Topic: Slope-Intercept Form Essential Question: What can be used to write and graph the equation of a line? Find the slope of each line: 1. 2. Find the slope of the line that passes through each pair of points. (8, 4), ( 6, 3)

Important!!! This is one of the big concepts in Algebra 1. You need to thoroughly understand this! Vocabulary: Slope – Intercept Form y = mx + b m represents the slope b represents the y-intercept = is the y-coordinate of a point where the graph crosses the y-axis

Writing Equations When asked to write an equation, you need to know two things – slope (m) and y-intercept (b).

Writing Equations – Type #1 Write an equation in slope-intercept form of the line that has a slope of 2 and a y-intercept of 6. To write an equation, you need two things: slope (m) = y – intercept (b) = 2 6 We have both!! Plug them into slope-intercept form y = mx + b y = 2 x + 6

1. Write the equation of a line that has a yintercept of -3 and a slope of -4. A) y = -3 x – 4 B) y = -4 x – 3 C) y = -3 x + 4 D) y = -4 x + 3

Identify the slope and y-intercept: y = 3 x – 7 y= x y=5 How can I graph these problems? ? ?

Writing Equations – Type #2 Write an equation of the line that has a slope of 3 and goes through the point (2, 1). To write an equation, you need two things: 3 slope (m) = y – intercept (b) = ? ? ? We have to find the y-intercept!! Plug in the slope and ordered pair into y = mx + b 1 = 3(2) + b

Writing Equations (2, 1) Slope 3 1 = 3(2) + b

2. Write an equation using the following information: (-4, -7) slope 2

Writing Equations – Type #3 Write an equation of the line that goes through the points (1, -2) and (2, 4). To write an equation, you need two things: ? ? ? slope (m) = y – intercept (b) = ? ? ?

3. Write an equation of the line that goes through the points (0, 1) and (1, 4). 1. 2. 3. 4. y = 3 x + 4 y = 3 x + 1 y = -3 x + 4 y = -3 x + 1

Write an equation in slopeintercept form:

Practice Time! Four Corners

Write an equation in slope-intercept form of the line that has a slope of 5 and a y-intercept of -2. A) y = -2 x + 5 C) y = 5 x + 2 B) y = 2 x – 5 D) y = 5 x – 2

Identify the y-intercept: y=7 A) 7 C) 0 B) Undefined D) 1

Identify the slope: y = 8 x A) 8 x C) 8 B) 0 D) 1

The y-intercept for the graph below is: A) 2 C) 2/1 B) 1 D) 0

Write an equation of the line that goes through the points (0, -2) and (1, 4). A) y = 6 x – 23 C) y = 1/6 x – 2 B) y = 6 x – 2 D) y = x +4

What about an equation like this? 5 x - 3 y = 6 What is the slope? What is the y-intercept?

Find the slope and y-intercept: 5 x - 3 y = 6 Write it in slope-intercept form. (y = mx + b)

Find the slope and y-intercept: 5) 2 y + 2 = 4 x

Independent Practice Time!!! Page 310 -311 (26, 32, 38, 54, 64)

Word Problem Challenge: A carpenter charges a $45 fee plus $30 per hour for labor. Write an equation to model the total cost of a job. What graph models the total cost?

Hands-on Activity: Competition Time • Matching: Slope-Intercept Form & Graph

Wrap-Up: Vocabulary Review! HLA #3: Slope-Intercept Form Page 310 -311 (12, 20, 24, 28, 30, 42, 52, 63) Reminder: - Complete your summary - Study your notes