GRAPHING LINEAR EQUATION BY INTERCEPT METHOD

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GRAPHING LINEAR EQUATION BY INTERCEPT METHOD
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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
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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).

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