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Aliun [14]
2 years ago
11

Please help Find the equation of this line. 1 a [?] x + [ ] y =

Mathematics
1 answer:
dezoksy [38]2 years ago
6 0
Start by finding the slope.

Pick 2 points on the line and find the “rise” and “run” between them.

To get from (0,3) to (4,0), you’d need to go “down 3” and “right 4”.

Since the slope is “rise over run” and a rise of “down 3” means a rise of “-3”, your slope is -3/4.

Next find the y-intercept: (0,3)
Use the 3 as your b-value for the slope-intercept form.

y=mx+b becomes y= -3/4 x + 3
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Answer:

\dfrac{9}{2}

Step-by-step explanation:

You can do this using the quadratic equation:

x =\dfrac{-b\pm\sqrt{b^{2}-4ac}}{2a}

Let's first setup our expression:

4x² + 12x = 135

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ax² + bx + c = 0

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Now we plug in our coefficients and solve:

x =\dfrac{-12\pm\sqrt{12^{2}-4(4)(-135)}}{2(4)}

We solve for both to determine the positive one:

x =\dfrac{-12+ \sqrt{12^{2}-4(4)(-135)}}{2(4)}              x =\dfrac{-12- \sqrt{12^{2}-4(4)(-135)}}{2(4)}

x =\dfrac{-12+ \sqrt{144+2160}}{8}                        x =\dfrac{-12- \sqrt{144+2160}}{8}

x =\dfrac{-12+ \sqrt{2304}}{8}                                 x =\dfrac{-12- \sqrt{2304}}{8}

x =\dfrac{-12+ 48}{8}                                        x =\dfrac{-12- 48}{8}

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So if you are looking for a positive solution, just take the positive one as x.

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