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Ainat [17]
3 years ago
6

(12,-9) and (-2,-2) in slope intercept form and if u want the points please explain how u got it

Mathematics
1 answer:
Montano1993 [528]3 years ago
5 0

Answer:

y= -\frac{1}{2} x-3

Step-by-step explanation:

Slope intercept form :

y = mx + b

m is the slope

b is the y-intercept

Let's look for m, use the formula \frac{(y_{1}-y_{2} ) }{(x_{1} -x_{2} )} to determine it.

\frac{-9 - (-2)}{12 - (-2)} = -\frac{1}{2}

y = -\frac{1}{2}x+b

Now find b, we simply need to plug in one of our coordinates to get our answer.

(12, -9)

-9=-\frac{1}{2} (12)+b

Solve for b :

-9 = -6 + b

-3 = b

b = -3

Our slope intercept is :

y = -\frac{1}{2}x - 3

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Explanation:
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Since the given triangle is a right-angled triangle, we can get the value of x which is the hypotenuse of the triangle using the Pythagorean theorem as follows:
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Part (b): getting the value of y:
Since the given triangle is a right-angled triangle, therefore, special trigonometric functions can be applied.
These functions are as follows:
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
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In the given, we have:
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Apply in the tan formula:
tan y = 7/24
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Part (c): getting the value of z:
This can be solved in two ways:
Solution 1: Using angles
Sum on internal angles in a triangle is 180
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Solution 2: Using special trig functions:
We have θ = z
opposite side = 24 in
adjacent side = 7 in
tan z = 24/7
z = 73.7° to the nearest tenth

Hope this helps :)
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