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Gr10 writing linear equations

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Chadwick International School

The document discusses writing linear equations using slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. It provides examples of finding the equation of a line given the slope and y-intercept, or using two points on the line. Key steps include calculating the slope as rise over run, using points to find the y-intercept and substitute into the slope-intercept form to write the equation of the line.

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Writing Linear Equations Using Slope Intercept Form
Slope-Intercept Form y = mx + b (c) [or f ( x ) = mx + b ] m is the slope/gradient b/c is the y -intercept
Find the Equation of the Line What is the y -intercept? b = -2 What is m ? m = y = x -2 x y
Find the Equation of the Line b = ? b = 1 m = ? m = - y = - x + 1 x y
Find the Equation of the Line b = ? b = 4 m = ? m = 0 y = 0 x + 4 y =4 x y
Find the Slope and y-intercept of each Equation: 1) y = -4 x + 3 m = -4 b = 3 2) y = 5 - x m = - b = 5 3) 8 x + y = m = -8 b = 4) 4 x - 2 y = 10 m = 2 b = -5
Find the Equation Given the Slope and y -intercept 1) m = -3, b = 1 y = -3 x + 1 2) m = - , b = -4 y = - x - 4
Find the Equation Given the Slope and a Point Given m = -1, (2, 1) First, calculate b by substituting the slope and the coordinates into y = mx + b. y = -1 x + b 1 = -1(2) + b 1 = -2 + b 3 = b y = -1 x + 3
Write the equation. gradient = 2, passes through (-4, 6) slope = -3/2, passes through (5, 3)
Find the Equation Given Two Points Given (-1, 3) and (2, 1) First, calculate the slope: Second, find b . Use either point... m = , (2, 1) 1 = (2) + b 1 = + b = b
Write the equation passes through (6, 1) and (8, -4) Passes through (-3, 5) and (2, 2)

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Gr10 writing linear equations

  • 1. Writing Linear Equations Using Slope Intercept Form
  • 2. Slope-Intercept Form y = mx + b (c) [or f ( x ) = mx + b ] m is the slope/gradient b/c is the y -intercept
  • 3. Find the Equation of the Line What is the y -intercept? b = -2 What is m ? m = y = x -2 x y
  • 4. Find the Equation of the Line b = ? b = 1 m = ? m = - y = - x + 1 x y
  • 5. Find the Equation of the Line b = ? b = 4 m = ? m = 0 y = 0 x + 4 y =4 x y
  • 6. Find the Slope and y-intercept of each Equation: 1) y = -4 x + 3 m = -4 b = 3 2) y = 5 - x m = - b = 5 3) 8 x + y = m = -8 b = 4) 4 x - 2 y = 10 m = 2 b = -5
  • 7. Find the Equation Given the Slope and y -intercept 1) m = -3, b = 1 y = -3 x + 1 2) m = - , b = -4 y = - x - 4
  • 8. Find the Equation Given the Slope and a Point Given m = -1, (2, 1) First, calculate b by substituting the slope and the coordinates into y = mx + b. y = -1 x + b 1 = -1(2) + b 1 = -2 + b 3 = b y = -1 x + 3
  • 9. Write the equation. gradient = 2, passes through (-4, 6) slope = -3/2, passes through (5, 3)
  • 10. Find the Equation Given Two Points Given (-1, 3) and (2, 1) First, calculate the slope: Second, find b . Use either point... m = , (2, 1) 1 = (2) + b 1 = + b = b
  • 11. Write the equation passes through (6, 1) and (8, -4) Passes through (-3, 5) and (2, 2)