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3 years ago

Find the slope of the line that passes through the points ( -2,3) and (7,-4)

Mathematics

2 answers:

Triss [41]3 years ago

8 0

Answer:

Slope= -7/9

Step-by-step explanation:

tangare [24]3 years ago

7 0

Answer:

-7/9

Step-by-step explanation:

(-2, 3) ; (7 , -4)

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

$= \frac{-4-3}{7-[-2]}\\\\= \frac{-4-3}{7+2}\\\\= \frac{-7}{9}$

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amid [387]

Answer:

Anya rode at 8.5 miles per hour.

Step-by-step explanation:

We have been given that Taylor and Anya live 63 miles apart. One day they left their houses at 8 am and met at 11 am riding toward each other. Taylor rode at 12.5 miles per hour.

We can see that Taylor and Anya met after 3 hours as 11-8=3. This means that both rode their cycles for 3 hours.

Let us find distance covered by Taylor.

$\text{Distance}=\text{Speed*Time}$

$\text{Distance covered by Taylor}=12.5\frac{\text{Miles}}{\text{hour}}*3\text{ hours}}$

$\text{Distance covered by Taylor}=12.5*3\text{ Miles}$

$\text{Distance covered by Taylor}=37.5\text{ Miles}$

Therefore, Taylor covered 37.5 miles in 3 hours.

Let us find distance covered by Anya in 3 hours by subtracting distance covered by Taylor from total distance of 63 miles.

$\text{Distance covered by Anya in 3 hours}=(63-37.5)\text{ Miles}$

$\text{Distance covered by Anya in 3 hours}=25.5\text{ Miles}$

Now let us find speed at which Anya rode bike.

$\text{Speed}=\frac{\text{Distance}}{\text{Time}}$

$\text{Speed at which Anya rode the bike}=\frac{25.5\text{ Miles}}{3\text{ Hour}}$

$\text{Speed at which Anya rode the bike}=8.5\frac{\text{ Miles}}{\text{ Hour}}$

Therefore, Anya rode the bike at the speed of 8.5 miles per hour.

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