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EastWind [94]
3 years ago
6

Write an equation of the line passing through (-3,4) and (6,5) and give the answer in standard form

Mathematics
1 answer:
Andru [333]3 years ago
3 0
Let's start by putting it into slope-intercept form, which is
y=mx+b where m=slope and b=y-intercept (the value of y when x=0)

Find the slope between (-3, 4) and (6, 5).
Formula for slope: m=\frac{rise}{run}=\frac{y_2-y_1}{x_2-x_1}
Plug in our x and y values...
m=\frac{5-4}{6-(-3)}=\frac{1}9
Our slope is 1/9.

We can interpret this slope rise/run = 1/9 as
<em>"When y changes by 1, x changes by 9. (and vice versa)"
</em>We want to find the y-intercept. (the value of y when x=0)
Let's take the point (-3, 4).
We want to add 3 to that x to make it 0.
According to our slope, this means adding 1/3 to y. (1 to 9 = 1/3 to 3)
Our y-intercept is at (0, 4 1/3), with the value we use in our eqn. b = 4 1/3.
Let's use an improper fraction, b = 13/3.

Now our equation is y=\frac{1}9x+\frac{13}3
Let's convert to standard form, ax+by+c=0.
Just multiply by the LCD of our fractions (in this case, 9)
9y=x+39
Now move everything to the left side.
\boxed{-x+9y-39=0}
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Calculate the m angle CLA , given m arc AC = 160° and m arc AKC = 200°.
crimeas [40]
<span>When two tangent lines intersect, they form an angle that equals
one half (larger intercepted arc minus the smaller </span><span>intercepted arc)

So, angle CLA = (1/2) (200 -160)
</span><span>Angle CLA = (1/2) (40)
</span><span>Angle CLA = 20 degrees

Source:
http://www.1728.org/circangl.htm

</span>
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Black_prince [1.1K]
It is important to note that all the information's required are already given in the question

Probability that a day will be hot = 0.15 + 0.10
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Adding the above two probabilities, we get = 0.25 + 0.55
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Now
Probability that a day will be both hot and sunny = 0.15
So
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I hope the procedure is clear enough for you to understand.
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Remember this:

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Now try it on your own!
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Answer:

- 1

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