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GRAPHING LINEAR EQUATION BY INTERCEPT METHOD

GRAPHING LINEAR EQUATION BY INTERCEPT METHOD. To know:. b.

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GRAPHING LINEAR EQUATION BY INTERCEPT METHOD

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  1. GRAPHING LINEAR EQUATION BY INTERCEPT METHOD

  2. To know: b The y – intercept is a value which touches to the y – axis, and it is usually represented by b. The coordinate is (0,b). While, x – intercept is a value which touches to x-axis and it is represented by a. And the coordinate is (a,0). a

  3. In order to get: • The y – intercept: assigned x = 0 and • the coordinate becomes (0,b) • 2. The x – intercept: assigned y = 0 and the • coordinate becomes (a,0).

  4. Example: 1. Draw a sketch of the graph in the equation 2x + 3y = 12 Solution: a.) y – intercept: let x = 0 and b = ? 2x + 3y = 12 2(0) + 3y = 12 Substitution 0 + 3y = 12 Multiplicative property of zero 3y = 12 Additive inverse Division Property of Equality y = 4

  5. b.) x – intercept: let y = 0 and a = ? 2x + 3y = 12 2x + 3(0) = 12 Substitution 2x + 0 = 12 Multiplicative property of zero 2x = 12 Additive identity Division property of equality x = 6

  6. So the graph will be, (0,4) 4 2 (6,0) 4 -2 2 6 2x + 3y = 12

  7. 2. Sketch a graph of an equation 5x + 6 + y = 3(x - y) + 12 + y. SOLUTION: 5x + 6 + y = 3(x-y) + 12 + y 5x + 6 + y = 3x – 3y + 12 + y Distributive Property 5x + y + 6 = 3x – 2y + 12 Commutative and Closure 5x – 3x + y + 2y = 12 – 6 APE to eliminate-2y and SPE to eliminate 3x from right So, 2x + 3y = 6 Closure Property a.) let y = 0 for x-intercept: let x = 0 for y-intercept: 2x + 3y = 6 2x + 3y = 6 2x + 3(0) = 6 2(0) + 3y = 6 2x = 6 3y = 6 x = 3 y = 2

  8. So the graph will be, (0,2) 4 (3,0) 2 4 -2 2 6 2x + 3y = 6

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