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Writing Linear Equations Using Slope Intercept Form.

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Presentation on theme: "Writing Linear Equations Using Slope Intercept Form."— Presentation transcript:

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 = 0x+ 4 y=4 x y

6 Find the Slope and y-intercept of each Equation: 1) y = -4x + 3 m = -4 b = 3 2) y = 5 - x m = - b = 5 3) 8x + y = m = -8 b = 4) 4x - 2y = 10 m = 2 b = -5

7 Find the Equation Given the Slope and y-intercept 1) m = -3, b = 1 y = -3x + 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 = -1x + b 1 = -1(2) + b 1 = -2 + b 3 = b y = -1x + 3

9 Write the equation. 4 gradient = 2, passes through (-4, 6) 4 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 4 passes through (6, 1) and (8, -4) 4 Passes through (-3, 5) and (2, 2)


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