DO NOW Write an equation in SlopeIntercept form

DO NOW Write an equation in Slope-Intercept form (y = mx + b) with the given information 1) Slope is -3/4 and the point is at (8, – 4) 2) (1, 4) and (2, 7) 3) Use the graph below: 6/5/2021 2: 39 PM 5. 3: Write Equations in Point-Slope Formula 1

WORKSHEET KEY 6/5/2021 2: 39 PM 5. 3: Write Equations in Point-Slope Formula 2

POINT-SLOPE FORMULA Section 5. 3 6/5/2021 2: 39 PM 5. 3: Write Equations in Point-Slope Formula 3

RECALL Slope-Intercept form: Use when point and y-intercept is given Slope: Another Equation Point-Slope Form: Use when point and slope is given Standard Form: 6/5/2021 2: 39 PM 5. 3: Write Equations in Point-Slope Formula 4

POINT-SLOPE EQUATION Slope X 1 is the x-coordinate Y 1 is the y-coordinate 6/5/2021 2: 39 PM 5. 3: Write Equations in Point-Slope Formula 5

EXAMPLE 1 Determine an equation of the line with slope of 4 and containing the point (1, 2) What’s given? 6/5/2021 2: 39 PM 5. 3: Write Equations in Point-Slope Formula 6

EXAMPLE 2 Determine an equation of the line with slope of – 4/3 and containing the point (– 3, 2). 6/5/2021 2: 39 PM 5. 3: Write Equations in Point-Slope Formula 7

EXAMPLE 3 Determine an equation of the line with slope of – 2/5 and containing the point (7, – 2). 6/5/2021 2: 39 PM 5. 3: Write Equations in Point-Slope Formula 8

YOUR TURN Determine an equation of the line with slope of 3/8 and containing the point (– 7, – 9). 6/5/2021 2: 39 PM 5. 3: Write Equations in Point-Slope Formula 9

EXAMPLE 4 Determine an equation of the line containing the points (2, 3) and (– 4, 5). What equations will you need? x 6/5/2021 2: 39 PM y 5. 3: Write Equations in Point-Slope Formula 10

EXAMPLE 4 Determine an equation of the line containing the points (2, 3) and (– 4, 5). What equations will you need? 6/5/2021 2: 39 PM 5. 3: Write Equations in Point-Slope Formula 11

EXAMPLE 4 Determine an equation of the line containing the points (2, 3) and (– 4, 5). What equations will you need? 6/5/2021 2: 39 PM 5. 3: Write Equations in Point-Slope Formula 12

EXAMPLE 5 Determine an equation of the line containing the points (2, 5) and (– 3, 4). 6/5/2021 2: 39 PM 5. 3: Write Equations in Point-Slope Formula 13

EXAMPLE 6 Determine an equation of the line containing the points (0, 3) and (2, – 1). 6/5/2021 2: 39 PM 5. 3: Write Equations in Point-Slope Formula 14

YOUR TURN Determine an equation of the line containing the points (– 10, – 2) and (– 8, 8). 6/5/2021 2: 39 PM 5. 3: Write Equations in Point-Slope Formula 15

EXAMPLE 7 Determine an equation of the line containing the points (12, 4) and (6, – 1) and convert it to slope intercept form. What equations will you need? x 6/5/2021 2: 39 PM y 5. 3: Write Equations in Point-Slope Formula 16

EXAMPLE 7 Determine an equation of the line containing the points (12, 4) and (6, – 1) and convert it to slope intercept form. What equations will you need? 6/5/2021 2: 40 PM 5. 3: Write Equations in Point-Slope Formula 17

EXAMPLE 7 Determine an equation of the line containing the points (12, 4) and (6, – 1) and convert it to slope intercept form. What equations will you need? 6/5/2021 2: 40 PM 5. 3: Write Equations in Point-Slope Formula 18

EXAMPLE 7 Determine an equation of the line containing the points (12, 4) and (6, – 1) and convert it to slope intercept form. What equations will you need? 6/5/2021 2: 40 PM 5. 3: Write Equations in Point-Slope Formula 19

EXAMPLE 7 Determine an equation of the line containing the points (12, 4) and (6, – 1) and convert it to slope intercept form. 6/5/2021 2: 40 PM 5. 3: Write Equations in Point-Slope Formula 20

EXAMPLE 8 Determine an equation of the line containing the points (0, 4) and (2, 5) in slope-intercept form. 6/5/2021 2: 40 PM 5. 3: Write Equations in Point-Slope Formula 21

YOUR TURN Determine an equation of the line containing the points (0, – 3) and (2, – 11). 6/5/2021 2: 40 PM 5. 3: Write Equations in Point-Slope Formula 22

ASSIGNMENT Worksheet 6/5/2021 2: 40 PM 5. 3: Write Equations in Point-Slope Formula 23