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2-4 More Linear Equations Point Slope Form

2-4 More Linear Equations Point Slope Form. Objective: I can write and graph a linear function in point slope form. Slope. Point ( x 1 , y 1 ). Point Slope Form. Examples. Slope Formula:. Point (2, 3) Slope: 4. 2. 3. 4. Point (-3, -7) Slope: . + 7. + 3.

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2-4 More Linear Equations Point Slope Form

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  1. 2-4 More Linear Equations Point Slope Form Objective: I can write and graph a linear function in point slope form

  2. Slope Point(x1, y1) Point Slope Form Examples Slope Formula: Point (2, 3) Slope: 4 2 3 4 Point (-3, -7) Slope: + 7 + 3 Point (-6, 5) Slope: -2 + 6 -2 5

  3. Write an equation given two points Equation for the line that passes through (3, 2) and (5, 8) Equation for the line that passes through(7, 3) and (3, 11) 1. Find the slope. 2. Choose 1 of the given points and substitute into point-slope form. OR OR Same Line?

  4. Graphing from point-slope form Graph the equation: Graph the equation: Point: Slope: Point: Slope:

  5. Parallel & Perpendicular Lines Write a parallel and perpendicular line through the point (6, 2) in slope intercept form Pg. 86 #10-21, 32-35,60-62 Parallel Lines: Slopes are Perpendicular Lines: Slopes are • equal • negative reciprocal

  6. More Linear Equations Standard Form Objective: I can write and graph a linear function in standard form.

  7. Three Forms of a linear equation y = mx + b Slope-Intercept Form: m = slope b = y-intercept Point Slope Form: y– y1 = m(x – x1) m = slope (x1, y1) = point Standard Form: Ax + By = C where A, B, and C are integers. - meaning no fractions or decimals.

  8. Slope-Intercept Formto Standard Form Standard Form to Slope-Intercept Form Ax + By = C Add or Subtract mxfrom both sides. Solvefor y! No fractionsor decimals Multiply to eliminate denominators.

  9. _________ ___________ y = x = Graphing a standard form equation Find and graph the intercepts. 3x + 5y = 15 15 x-intercept 15 y-intercept 5 3 x = 5 y = 3

  10. A runner is participating in a 10-kilometer road race and she is currently at the halfway point. She looks at her watch and notices that it has taken her exactly twenty five minutes to get to this point. Assume that she has run at a constant rate and will complete the race at this same rate. Write an equation to represent the distance she has run from where she is now. x = Time (minutes) y = Distance from 5 km (km) Running Rate: Starting point: Slope-intercept Form • (y-intercept)

  11. The number of times a cricket chirps per minutes depends on the temperature. Chirps in 2 seconds are shown below. Write an equation to represent this situation. x = Temperature (°F) y = Chirps Temp. Chirps per minute 40 93 Point-Slope Form • 0 30(8)=240

  12. After a water main break, a large building’s basement wasflooded to the ceiling. The local fire department providestwo pump trucks to pump the water out. The first truck canpump 25 cubic feet of water per minute and the second truck canpump 32 cubic feet of water per minute. The building is a rectangular prism, measuring 150 feet long, 120 feet wide and 10 feet deep. Pg. 86 #22-31, 36-41 If both trucks are used for different amounts of time to pump out the basement, write an equation to represent this situation. Amount ofwater 1st Truck Amount of water 2nd Truck Time spent pumping x= First Truck y = Second Truck + • = Total Standard Form

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