# hands-on activity: competition time matching: slope-intercept form & graphmatching: slope-intercept...

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

• Home-Learning Assignment #3 - Review

• What we Know so far.Slope Intercept FormWhere m is the slope and b is the interceptName:Date: Period:Quick Review:Topic: 1. Point-Slope Form 2. Standard FormEssential Question: What can be used to write and graph the equation of a line? Which form would better help me graph & write linear equations?

• Objective:In this lesson you will learn a different strategy one that uses the point-slope form of an equation of a linePreviously you learned one strategy for writing a linear equation when given the slope and a point on the line..

• The New Stuff Point- Slope FormPoint- Slope form is:Where m is the slope and (x1,y1) is the given point

• Example #1Write the equation of the line that goes through the point (2, 3) and has a slope of 4.Point = (2, 3)Slope = 4y y1 = m (x x1)y + 3 = 4 (x 2)Starting with the point slope form Plug in the y-value, the slope, and the x-value to getNotice, that when you replaced the y1 it became +3.

• Write the Equation in Point-Slope FormStep 1: Plug it in

• What is the graph of y 1 = (x 2)?

• ???Using two points to write an equation in point-slope form(0,-3)

• Standard FormAx + By = C

• x-intercept - the point (ordered pair) where a line crosses the x-axis.y-intercept - the point (ordered pair) where a line crosses the y-axis.The word intercept means to cross.

• Using Standard Form:To find an intercept, set the other variable equal to zero.3x 5y = 15Ax + By = C

• 1) 3x + 4y = 242) 7x + 8y = 21Your Turn (Find x & y-intercept):

• Graph using X & Y-intercepts:1) 3x + 4y = 242) 7x + 8y = 21

• Graphing Horizontal Lines: Slope is zero. Equation form is y = #.a) y = -2

b) y = 3

c) y = 1

• Graphing Vertical Lines: Slope is undefined. Equation form is x = #.a) x = -1

b) x = 3

c) x = 4

• Transforming to Standard Form (Ax + By = C):y = 3x + 4y = 3/7x + 4y 2 = - 1/3(x + 6)

• Making the connection:How can I write the following point-slope form in slope-intercept form?y + 3 = 4 (x 2)

How can I write the following standard form in slope-intercept form?-4x + y = - 11

• Practice:Page 316-318(2-6, 12, 35) Page 323 (6)

• Review for Exam #4

• Wrap-Up:Vocabulary & Forms ReviewHLA #4: Point-Slope Form & Standard FormPage 316 318 (14, 16, 39)Page 324 (12, 14)