Mathematics: 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

Ответ:

markarianlaura1

14.01.2022

Mathematics

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

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Ответ:

lizreed2002

12.05.2023

Mathematics

2 or -2

Step-by-step explanation:

If x² - 8x = -12

Step 1

We find x by solving

x² - 8x = -12

We equate to zero

x² - 8x + 12 = 0

We factorise

x² - 6x - 2x + 12 = 0

x(x - 6) -2(x - 6) = 0

(x - 6) (x - 2) = 0

x - 6 = 0, x = 6

x - 2 = 0, x = 2

x = 6 or 2

Step 2

What is x - 4?

When x = 6

= 6 - 4 = 2

When x = 2

= 2 - 4 = -2

Therefore, x - 4 = 2 or -2

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

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