Chapter 4.4:Slope-Intercept and Point Slope Forms of Linear Equations. Graphing Linear Equations Using slopes and Intercepts. 1.

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1 Math 4 Name Chapter 4.4:Slope-Intercept and Point Slope Forms of Linear Equations Graphing Linear Equations Using slopes and Intercepts. Graph -intercept = (0, ). Graph 6 -intercept = (0, ). Graph 0 -intercept = (0, ) 4. Graph -intercept = (0, )

2 Answers:. Graph. (0, ) -intercept (0, ) m Down, right Up, left. Graph 6. -intercept (0, -) m Up, right Down, left (0, -). Graph 0. -intercept (0, ) m Down, right Up, left (0, ) 4. Graph. -intercept (0, ½) m Up, right Down, left (0, ½ )

3 Determining Linear Equations from Graphs E: Determine the equation of the line. Slope: -intercept: (0, ) Up, right 4 b = Down, left 4 So, m 4 4 You tr: Determine the equation of each line. a.) -intercept = (0, ) b.) -intercept = (0, ) c.) -intercept = (0, ) d.) -intercept = (0, ) e.) -intercept = (0, ) f.) -intercept = (0, )

4 Determining if Linear Equations are Parallel, Perpendicular, or Neither. Parallel lines have the same slope. E: m and m Perpendicular lines have opposite reciprocal slopes. E: m and m You tr: Determine whether each pair of lines are parallel, perpendicular, or neither. a.) b.) c.) 7 4 d.) e.) f.) Answers: Determining Linear Equations from Graphs a.) b.) c.) d.) 4 e.) f.) 8 Determining if Linear Equations are Parallel, Perpendicular, or Neither a.) parallel b.) parallel c.) neither d.) neither e.) parallel f.) perpendicular

5 Finding Equations of Lines Finding equations from graphs: steps:. Find the -intercept. (0, b). Find the slope. rise m run. Plug into slope-intercept formula m b. E : Slope: down, right m = - -int: (0, ), so b= Therefore, E : Slope: up, right m = ½ -int: (0, ), so b= Therefore, You tr: Find the equations of each line. (0, ) (-7,0) (0,0) (0,-4) (0,6) (-,0) Finding Equations given a point and a slope: steps:. Plug the point (, ) and the slope, m, that was given into the point-slope formula m( ). E: Write an equation for a line with slope, goes through the point (8, -). m, and. Solve for to get into slope intercept form: m b. You tr: Find the equation of each line.. Write an equation for the line with slope, goes through the point (-0, -). m, and it. Write an equation for the line with slope, and goes through the point (-8, 0). 4 m,

6 . Write an equation for the line with slope, m 0, and goes through the point (, -4). 4. Write an equation for the line with slope, m undefined, and goes through the point (, 7). Finding Equations given points: steps:. Calculate the slope. m. Use the slope, m, and choose either point to plug into the point-slope formula m( ). E: Write an equation for a line that goes through the points (4, -) and (-6, ).. Solve for to get into slope intercept form: m b. You Tr: Find the equation of each line.. Write an equation for the line that goes through the points (6, -) and (-, 4).. Write an equation for the line that goes through the points (-7, -) and (-6, -4).. Write an equation for the line that goes through the points (-, -) and (-, 4). 4. Write an equation for the line that goes through the points (6, 4) and (-, 4).

7 Applications of Linear Equations in Two Variables E: The following graph illustrates a submarine s depth, d, at a time t minutes after the submarine begins to dive. (0, -800) a.) Determine the slope of the line. b.) Determine the equation of the line in slope-intercept form. c.) Use the graph to estimate the depth of the submarine at 0 minutes. d.) Use the equation found in part b) to calculate the depth of the submarine at 0 minutes. You tr:. Sa the cost, c, of one widget, w, is $8, but the price goes down b $ for each additional widget ou bu, up to 8. a.) Determine the slope of the line. $ of widgets b.) Determine the equation of the line in slope intercept form. # of widgets c.) Use the graph to estimate the cost of buing widgets. d.) Use the equation found in part b) to calculate the cost of buing widgets.

8 . The following graph shows the relationship between Fahrenheit temperature and Celsius temperature. a.) Determine the slope of the line. b.) Determine the equation of the line in slope-intercept form. c.) Use the graph to estimate the temperature in Fahrenheit when the Celsius temperature is 0. d.) Use the equation found in part b) to calculate the temperature in Fahrenheit when the Celsius temperature is 0. Answers: Finding equations from graphs: a.) 7 b.) 4 c.) 6 d.) Finding Equations given a point and a slope: E: Finding Equations given points: E: Applications of Linear Equations: E:a.) m 0 b.) d 0t 00 c.) d 600 d.) d 0(0) a.) m b.) c w 9 c.) c $ 4 d.) c ( ) 9 $ 4 9. a.) m 9 b.) F C c.) F 0 d.) 9 F (0) 0

Math 1010 Lesson 1-4 (Textbook 1.7 and 1.8) Different equations of Lines

Math 1010 Lesson 1-4 (Textbook 1.7 and 1.8) Different equations of Lines Math 00 Lesson -4 (Textbook.7 and.8) Different equations of Lines. slope intercept form = mx + b. standard form Ax + B = C m x x 3. point slope form ( ) Which one we use depends on what information is