Mathematics

Mathematics, 06.01.2020 08:31, brooklyn4932

Find the slope of the line through each pair of points. pls and explain if you

Find the slope of the line through each pair of points. pls and explain if you

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Answer

answered: jeffrieskids13

1) The slope for the given points (6,7) and (-10,4) is $m=\frac{3}{16}$

2) The slope for the given points (17,4) and (13,20) is m=-4

3) The slope for the given points (12,19) and (14,18) is $m=-\frac{1}{2}$

4) The slope for the given points (-11,0) and (18,13) is $m=\frac{13}{29}$

5) The slope for the given points (3,6) and (-8,20) is $m=-\frac{14}{11}$

6) The slope for the given points (-16,-20) and (12,5) is $m=\frac{25}{28}$

7) The slope for the given points (13,20) and (14,-14) is m=-34

8) The slope for the given points (18,15) and (3,0) is m=1

Step-by-step explanation:

To find the slope of the line through each pair of points:

1) Given points are (6,7) and (-10,4)

The slope formula is $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Let $(x_{1},y_{1})$ and $(x_{2},y_{2})$ be the given points (6,7) and (-10,4) respectively

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m=\frac{4-7}{-10-6}$

$m=\frac{-3}{-16}$

$m=\frac{3}{16}$

Therefore the slope for the given points (6,7) and (-10,4) is $m=\frac{3}{16}$

2) Given points are (17,4) and (13,20)

The slope formula is $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Let $(x_{1},y_{1})$ and $(x_{2},y_{2})$ be the given points (17,4) and (13,20) respectively

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m=\frac{20-4}{13-17}$

$m=\frac{16}{-4}$

m=-4

Therefore the slope for the given points (17,4) and (13,20) is m=-4

3) Given points are (12,19) and (14,18)

The slope formula is $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Let $(x_{1},y_{1})$ and $(x_{2},y_{2})$ be the given points (12,19) and (14,18) respectively

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m=\frac{18-19}{14-12}$

$m=\frac{-1}{2}$

Therefore the slope for the given points (12,19) and (14,18) is $m=-\frac{1}{2}$

4) Given points are (-11,0) and (18,13)

The slope formula is $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Let $(x_{1},y_{1})$ and $(x_{2},y_{2})$ be the given points (-11,0) and (18,13) respectively

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m=\frac{13-0}{18-(-11)}$

$m=\frac{13}{29}$

Therefore the slope for the given points (-11,0) and (18,13) is $m=\frac{13}{29}$

5) Given points are (3,6) and (-8,20)

The slope formula is $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Let $(x_{1},y_{1})$ and $(x_{2},y_{2})$ be the given points (3,6) and (-8,20) respectively

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m=\frac{20-6}{-8-3}$

$m=\frac{14}{-11}$

$m=-\frac{14}{11}$

Therefore the slope for the given points (3,6) and (-8,20) is $m=-\frac{14}{11}$

6) Given points are (-16,-20) and (12,5)

The slope formula is $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Let $(x_{1},y_{1})$ and $(x_{2},y_{2})$ be the given points (-16,-20) and (12,5) respectively

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m=\frac{5-(-20)}{12-(-16)}$

$m=\frac{5+20}{12+16}$

$m=\frac{25}{28}$

Therefore the slope for the given points (-16,-20) and (12,5) is $m=frac{25}{28}$

7) Given points are (13,20) and (14,-14)

The slope formula is $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Let $(x_{1},y_{1})$ and $(x_{2},y_{2})$ be the given points (13,20) and (14,-14) respectively

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m=\frac{-14-20)}{14-13}$

$m=\frac{-34}{1}$

m=-34

Therefore the slope for the given points (13,20) and (14,-14) is m=-34

8) Given points are (18,15) and (3,0)

The slope formula is $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Let $(x_{1},y_{1})$ and $(x_{2},y_{2})$ be the given points (18,15) and (3,0) respectively

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m=\frac{0-15}{3-18}$

$m=\frac{-15}{-15}$

m=1

Therefore the slope for the given points (18,15) and (3,0) is m=1

Answer

answered: Guest

60

step-by-step explanation:

Answer

answered: Guest

total amount of money that he should pay if he has not used his duty free exemption is $98

step-by-step explanation:

given a united states citizen returning to the states declares the following items at the customs office: 3 shirts at $8.50 each 2 dresses at $27.50 each 1 pair of gold cuff links at $17.50 per pair. we have to find how much he pay

cost of 3 shirts if one cost at $8.50 is $3\times 8.50=$25.5$

cost of 2 dresses if one cost at $27.50 is $2\times 27.50=$55$

cost of 1 pair of gold cuff at $17.50

so, total amount of money that he should pay if he has not used his duty free exemption is $25.5+$55+$17.50=$98

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