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**First let’s review 5.1 y = mx + b**

Write the equation in slope-intercept form, given m = 3 ang b = (0,-2) Example m = 3, b = (0,-2) y = mx + b y = __ x + ___

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**Write the equation of the line in slope-intercept form.**

b = (0,1) y = mx + b

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**Given this equation, what is the slope and y-intercept?**

+2x x 3y = 2x + 15 m = 2/3 b = (0,5)

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**Review 5.2 Point-Slope Form**

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**Write the equation of the line in point-slope form.**

(0,3) Or you can use any point (3,2)

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**Given (2,3) and slope = -2, write the equation in SLOPE-INTERCEPT**

This is the equation of the line in point-slope form!! Now leave your answer in slope- intercept form.

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**Given (-8,4) and slope = -3/2, write the equation in SLOPE-INTERCEPT**

This is the equation of the line in point-slope form!! Now leave your answer in slope- intercept form.

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**5.3 Writing equations of a line given two points**

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**Forms of a linear equation**

Slope-intercept Form y = mx + b Point-Slope Form y – y1 = m(x – x1)

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**If given two points, First, find the slope using the slope formula.**

(x1 , y1) and (x2 , y2) First, find the slope using the slope formula. Example contains (5, –8) and (2, 7) m = 15 –3 m = –5 m = 7 – -8 2 – 5

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**If given two points, Then use the slope and EITHER point to work**

like the previous example. y – y1 = m(x – x1) y – 7 = – 5(x – 2) y – 7 = –5x + 10 m = –5, contains (5, –8) and (2, 7) y = –5x + 17

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**Writing an Equation Given Two Points**

1. Calculate the slope of the line. 2. Select the form of the equation. a. Slope-intercept form b. Point-slope form 3. Substitute and/or solve for the selected form.

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**Writing an Equation Given Two Points**

Given the two ordered pairs, write the equation of the line in point-slope form. Calculate the slope. or

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**Writing an Equation Given Two Points in point-slope form:**

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**Same example: Writing an Equation Given Two Points in slope-intercept form.**

Start by using point-slope form:

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**2.) Writing an Equation Given Two Points in slope-intercept form.**

(-5,7) (2,-7) Start by using point-slope form:

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**EVERY ONE GET A COMMUNICATOR:**

WITH A BLANK SIDE!!

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**3.) Writing an Equation Given Two Points in slope-intercept form.**

(2,0) (-2,6) Start by using point-slope form:

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**4.) Writing an Equation Given Two Points in slope-intercept form.**

(10,-5) (8,4) Start by using point-slope form:

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**5.) Writing an Equation Given Two Points in slope-intercept form.**

(6,5) (-3,5) Start by using point-slope form: Horizontal line

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**6.) Writing an Equation Given Two Points in slope-intercept form.**

(-2,-4) (-4,8) Start by using point-slope form:

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**7.) Writing an Equation Given Two Points in slope-intercept form.**

(-6,6) (9,1) Start by using point-slope form:

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**NOW WHAT IF I GAVE YOU A GRAPH, TELL ME THE EQUATION OF THE LINE:**

WHAT’S THE MAJOR DIFFERENCE BETWEEN THESE TWO GRAPHS: So creating an equation using slope-intercept form would NOT work!!! The one on the right does not have a CLEAN y-intercept!!

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**Create the equation of the line using two points on the line:**

(-3,4) (5,8)

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