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Olenka [21]
3 years ago
13

Find the slope and write an equation of the line which passes through the points. (−3, 9) and (−3, −5)

Mathematics
1 answer:
Sedbober [7]3 years ago
4 0

Answer:

Slope: undefined

Equation: x=-3

Step-by-step explanation:

To find the line that passes through the points, you first want to find the slope.  The formula for slope is m=\frac{y_2-y_1}{x_2-x_1}. Once we have the slope, we can use any given point to plug in to find the y-intercept.

m=\frac{-5-9}{-3-(-3)} =\frac{-14}{0}

We can see that the slope is undefined. If we look at the point, we notice that they both have the same x-coordinate. This let's us know that the equation is x=-3.

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3 years ago
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\large \underline{ \mathbb{QUESTION:}}

The lifeguard of the beach resort is on his post which is 4 m high. A boy in the pool is 9 meters away from him. Find the angle of depression from the lifeguard to the boy.

\large\underline{ \mathbb{ANSWER  \: \& \: SOLUTION:}}

\large \tt{ tan \: x \:  =  \:  \frac{opposite}{adjacent} }

\large \tt{tan  \: x \:  =  \:  \frac{4}{9}}

\large \tt{ \:   \: \:  \:   \:  \:  \: \: x \:  =  \:  tan ^{ - 1}  \:  (0.444)}

\large \tt {\:  \:  \:  \:  \:  \:  \:  \: x \:  =  \: 23.96 ^{o} }

\:\:\:\:\:\:\:\: \large \boxed{\tt{\red{  x \:  =  \: 24 ^{o} }}}

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