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First let’s review 5.1 Write the equation in slope-intercept form, given m = 3 ang b = (0,-2) Example m = 3, b = (0,-2) y = __ x + ___ y = mx + b

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Write the equation of the line in slope- intercept form. m = 3/2 b = (0,1) y = mx + b

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Given this equation, what is the slope and y-intercept? m = 2/3 b = (0,5) +2x 3y = 2x + 15 3 3 3

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Review 5.2 Point-Slope Form

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Write the equation of the line in point- slope form. m = -1/3 (0,3) (3,2) Or you can use any point

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Now leave your answer in slope- intercept form. +3 This is the equation of the line in point-slope form!! Given (2,3) and slope = -2, write the equation in SLOPE-INTERCEPT

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Now leave your answer in slope- intercept form. +4 This is the equation of the line in point-slope form!! Given (-8,4) and slope = -3/2, write the equation in SLOPE-INTERCEPT

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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 Formy = mx + b Point-Slope Formy – y 1 = m(x – x 1 )

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If given two points, First, find the slope using the slope formula. Example contains (5, –8) and (2, 7) m = 7 – - 8 2 – 5 m = 15 –3 m = –5 (x 1, y 1 ) and (x 2, y 2 )

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If given two points, Then use the slope and EITHER point to work like the previous example. y – y 1 = m(x – x 1 ) y – 7 = – 5(x – 2) y – 7 = –5x + 10 y = –5x + 17 m = –5, contains (5, –8) and (2, 7)

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

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Writing an Equation Given Two Points in point-slope form: 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: + 7 - 7

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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. Start by using point-slope form: + 3 (2,0) (-2,6)

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4.) Writing an Equation Given Two Points in slope- intercept form. Start by using point-slope form: - 5 - 7 (10,-5) (8,4)

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5.) Writing an Equation Given Two Points in slope- intercept form. Start by using point-slope form: + 5 (6,5) (-3,5) Horizontal line

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6.) Writing an Equation Given Two Points in slope- intercept form. Start by using point-slope form: + 7 - 7 (-2,-4) (-4,8)

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7.) Writing an Equation Given Two Points in slope- intercept form. Start by using point-slope form: + 7 - 7 (-6,6) (9,1)

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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: The one on the right does not have a CLEAN y-intercept!! So creating an equation using slope-intercept form would NOT work!!!

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Create the equation of the line using two points on the line: (-3,4) (5,8)

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