Writing Linear Equations Using Slope Intercept Form

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Presentation transcript:

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 = 0x+4 y=4 x y

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

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