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3 years ago

7

What is y and x intercept of 3x-2y=12

2 answers:

Keith_Richards [23]3 years ago

8 0

These intercepts<span> are plotted in Figure 3.1 and the line </span>3x<span> + </span>2y<span> = </span>12<span> is drawn through them. Figure 3.2: Adding the graph of </span>y<span> = </span>x<span> + 1. The second equation </span>y<span> = </span>x+ 1 has slope-intercept<span> form </span>y<span> = mx + b. Hence, the slope is m = 1 and the </span>y-intercept<span> is (0, 1).</span>

Mrac [35]3 years ago

5 0

First, put the equation in standard form for the equation of a line which is y = mx + b where m is the slope and b is the y-intercept:

3x - 2y = 12

-2y = -3x + 12

y = 3/2x - 6

We plug in 0 for x to find the y-intercept:

y = 3/2(0) - 6

y = -6

Now we can see the the y-intercept must be (0, -6).

Now to find the x intercept, plug in 0 for y:

0 = 3/2x - 6

3/2x = 6

x = 4

So the x intercept is (4, 0).

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I saw some of this on a site but I want to make sure its correct so we're gonna apply the pythagorean theory and see if its correct.

$a^{2} + b^{2} = c^{2} \\8^{2} + 15^{2} = 17^{2} \\64 + 225 = 289\\289 = 289\\$

This shows that this is correct.

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