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GRAPHING LINEAR EQUATIONS

Learn how to convert equations, find intercepts, and write lines using the point-slope form formula. Practice examples included.

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GRAPHING LINEAR EQUATIONS

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  1. GRAPHING LINEAR EQUATIONS • USING THE POINT-SLOPE FORM

  2. Given: Warm-up Convert the following in slope-intercept form: 1.) 3x+4y=12 2.) 9x-2y=7 y = -¾x + 3 y = 9/2x - 7/2 Find the x and y intercepts of the folowing: 1.) 5x+4y= 20 2.) 3x-5y=24 X-int: 4 Y-int: 5 X-int: 8 Y-int: -24/5 Write the Equation of the line given a slope and 2 points: A(-2,5) B(2,5) Y=2x+9 Slope=2

  3. Y = mX + b Ax + By = C y-y1 = m(x-x1) 3 FORMS OF EQUATIONS IN CHAPTER 5 1. SLOPE INTERCEPT FORM: 2. STANDARD FORM: 3. POINT-SLOPE FORM:

  4. y-y1 = m(x-x1) Point-Slope Form

  5. +7 y = -3x+4 Use the point-slope form formula Substitute (-1, 7) to (x1, y1) and -3 to m Simplify +7 Example: Write the equation of a line that has a slope of -3 that passes through the point (-1,7). y-y1 = m(x-x1) y-y1 = m(x-x1) y-7 = -3(x-(-1)) y-7 = -3(x+1) y-7 = -3x-3

  6. -9 y = 5x-24 Use the point-slope form formula Substitute (3, -9) to (x1, y1) and 5 to m Simplify -9 Your Turn Write the equation of a line that has a slope of 5 that passes through the point (3, -9). y-y1 = m(x-x1) y-y1 = m(x-x1) y-(-9) = 5(x-3) Y+9 = 5(x-3) Y+9 = 5x-15

  7. +3 y2 - y1 -5 - 3 -8 +3 y = 2x - 1 2 Slope = = x2 - x1 Example: x1 y1 y2 x2 Write the equation of a line given points (2,3) (-2, -5) Step 1 Find the slope y-y1 = m(x-x1) y-y1 = m(x-x1) y-3 = 2(x-2) Slope = y-3 = 2x - 4 Slope = - 4 -2 - 2

  8. +12 y2 - y1 12 - 2 10 +12 y = 5x - 8 5 Slope = = x2 - x1 Your turn x1 y1 y2 x2 Write the equation of a line given points (2,2) (4, 12) Step 1 Find the slope y-y1 = m(x-x1) y-y1 = m(x-x1) y-12 = 5(x-4) Slope = y-12 = 5x - 20 Slope = 2 4 - 2

  9. Classwork Write the equation of a line given points using the Point-Slope Form y-y1 = m(x-x1) POINT-SLOPE FORM: 1. ( 3 ,-4 ); m=6 2. ( 4 ,0 ); m=1 3. ( 5 ,-8 ); m=-3 6. ( 4 , -2 ) ( 9 , -8 ) 4. ( -1 , 0 ) ( 1 , 2 ) 5. ( 3 , 5 ) ( 0 , 0 )

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