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Damm [24]
3 years ago
8

What is the slope of a line that passes through (–14,13) and (7,0)?

Mathematics
2 answers:
Anna [14]3 years ago
5 0

Answer:

Option B is correct.

-\frac{13}{21}

Step-by-step explanation:

Slope of the line that passes through the point is given by:

\text{Slope} = \frac{y_2-y_1}{x_2-x_1}

As per the statement:

A line that passes through (–14,13) and (7,0)

then;

\text{Slope} = \frac{0-13}{7-(-14)}

⇒\text{Slope} = \frac{-13}{7+14}

⇒\text{Slope} = \frac{-13}{21}

Therefore, the slope of a line that passes through (–14,13) and (7,0) is,  -\frac{13}{21}

Feliz [49]3 years ago
4 0
The answer is choice b.
y2-y1/x2-x1

0-13/ 7-(-14)
-13/7+14
-13/21
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<h3>Answer: choice B) 36</h3>

=================================================

Explanation:

The vertical sides, when read from left to right, can be divided to get this fraction: 9/90

Following the same order and direction, we divide the slanting corresponding sides to get: b/360

The fractions we constructed are equal to one another, as the triangles are said to be proportional.

We have the fraction 9/90 = b/360

Lets cross multiply and solve for b

--------------------

9/90 = b/360

9*360 = 90*b

3240 = 90b

90b = 3240

90b/90 = 3240/90

<h3>b = 36</h3>

--------------------

A quick way to do this may be to notice how the jump from 9 to 90 is "times 10" so the jump from b to 360 is also "times 10". Think in reverse to divide 360 over 10 and we land on 36 as our answer. This line of thinking does not work as simple for all proportional problems.

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Step-by-step explanation:

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Step-by-step explanation:

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