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3 years ago

What are the x- and y-intercepts of the line? 2x – 3y = –12 Show work

Mathematics

2 answers:

goldfiish [28.3K]3 years ago

7 0

Answer:

x = -6 y = 4

(-6,0) (0,4)

Step-by-step explanation:

2x - 3y = -12

cancel out the y

2x - 3(0) = -12

2x = -12

divide both sides by 2

x = -6

2x - 3y = -12

cancel out the x

2(0) - 3y = -12

-3y = -12

divide both sides by -3

y = 4

Hope this Helps!!!

yuradex [85]3 years ago

4 0

Answer:

You can use the intercepts to graph the line. The graph of 2x + 3y = 12 crosses the x-axis at (6, 0), so its x-intercept is 6. The graph of 2x + 3y = 12 crosses the y-axis at (0, 4), so its y-intercept is 4.

Step-by-step explanation:

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$\sf\huge\underline{\star Solution:-}$

$\rightarrow$ <u>Ratio of two angles are 6:13.</u>

So, let the one angle be $\sf{6x}$ and another be $\sf{13x.}$

As we know that,

Sum of all interior angles of a quadrilateral = $\sf\pink{360°.}$

So let's sum up the given angles,

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$\rightarrow$ $\sf{x \:=\: \frac{19}{57}}$

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Hence, $\sf{x \:=\: 3}$

So, First angle $\sf{= \:6x\: = \:6×3 \:=}$ $\sf\purple{18°.}$

Second angle $\sf{= \:13x\: = \:13×3 \:=}$ $\sf\purple{39°.}$

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Hope it helps you:)

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Step-by-step explanation:

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