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Find the x and y intercepts for the equation:3x – 6y = 9

User Han Bing
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Jaeburd, this is the solution:

Part a: x-intercept

Let's substitute in 0 for y, as follows:

3x - 6 * 0 = 9

3x - 0 = 9

3x = 9

Dviding by 3 at both sides:

3x/3 = 9/3

x = 3

In consequence, x-intercept is (3, 0)

Part b: y-intercept

Let's substitute in 0 for x, as follows:

3 * 0 - 6y = 9

0 - 6y = 9

-6y = 9

Dividing by -6 at both sides:

-6y/-6 = 9/-6

y = -9/6

Simplifying at the right side:

y = -3/2

In consequence, y-intercept is (0, -3/2)

User ZeroTek
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