Question

Help me math can you help me set 2Directions: Find the slope between each pair of points Show all work on a separate sheet ofpaper. After completing each set, find matching answers. One will have a letter and the other anumber. Write the letter in the matching numbered box at the bottom of the page.

Answer 1

(T) Given: pair of points (7,5) and (10,9)

To find: The Slope?

Step-by-step explanation:

We can find the slope by using the formula

`Slope=(y_2-y_1)/(x_2-x_1)`

We have given the points

(7,5) and (10,9)

Hence,

`\begin{gathered} x_1=7 \\ y_1=5 \\ x_2=10 \\ y_2=9 \end{gathered}`

Therefore,

`\begin{gathered} Slope=(9-5)/(10-7) \\ \\ Slope=(4)/(3) \end{gathered}`

Thus, slope = 4/3.

(B) Given: pair of points (-8,2) and (-5,-4)

To find: The Slope?

Step-by-step explanation:

We can find the slope by using the formula

`Slope=(y_2-y_1)/(x_2-x_1)`

We have given the points

(-8,2) and (-5,-4)

Hence,

`\begin{gathered} x_1=-8 \\ y_1=2 \\ x_2=-5 \\ y_2=-4 \end{gathered}`

Therefore,

`\begin{gathered} Slope=(-4-2)/(-5-(-8_)) \\ \\ Slope=(-6)/(3) \\ \\ Slope=-2 \end{gathered}`

Thus, slope =-2.

(H) Given: pair of points (2,-2) and (-4,-1)

To find: The Slope?

Step-by-step explanation:

We can find the slope by using the formula

`Slope=(y_2-y_1)/(x_2-x_1)`

We have given the points

(2,-2) and (-4,-1)

Hence,

`\begin{gathered} x_1=2 \\ y_1=-2 \\ x_2=-4 \\ y_2=-1 \end{gathered}`

Therefore,

`\begin{gathered} Slope=(-1-(-2))/(-4-2) \\ \\ Slope=(1)/(-6) \\ \\ Slope=-(1)/(6) \end{gathered}`

Thus, slope =-1/6.

(S) Given: pair of points (-4,9) and (-11,7)

To find: The Slope?

Step-by-step explanation:

We can find the slope by using the formula

`Slope=(y_2-y_1)/(x_2-x_1)`

We have given the points

(-4,9) and (-11,7)

Hence,

`\begin{gathered} x_1=-4 \\ y_1=9 \\ x_2=-11 \\ y_2=7 \end{gathered}`

Therefore,

`\begin{gathered} Slope=(7-9)/(-11-(-4)) \\ \\ Slope=(-2)/(-11+4)=(-2)/(-7) \\ \\ Slope=(2)/(7) \end{gathered}`

Thus, slope = 2/7.

(O) Given: pair of points (5,-1) and (4,-6)

To find: The Slope?

Step-by-step explanation:

We can find the slope by using the formula

`Slope=(y_2-y_1)/(x_2-x_1)`

We have given the points

(5,-1) and (4,-6)

Hence,

`\begin{gathered} x_1=5 \\ y_1=-1 \\ x_2=4 \\ y_2=-6 \end{gathered}`

Therefore,

`\begin{gathered} Slope=(-6-(-1))/(4-5) \\ \\ Slope=(-6+1)/(-1)=(-5)/(-1) \\ \\ Slope=5 \end{gathered}`

Thus, slope = 5.

(16) Given: pair of points (-5,-2) and (9,2)

To find: The Slope?

Step-by-step explanation:

We can find the slope by using the formula

`Slope=(y_2-y_1)/(x_2-x_1)`

We have given the points

(-5,-2) and (9,2)

Hence,

`\begin{gathered} x_1=-5 \\ y_1=-2 \\ x_2=9 \\ y_2=2 \end{gathered}`

Therefore,

`\begin{gathered} Slope=(2-(-2))/(9-(-5)) \\ \\ Slope=(2+2)/(9+5)=(4)/(14) \\ \\ Slope=(2)/(7) \end{gathered}`

Thus, slope =2/7.

(8) Given: pair of points (-10,-6) and (2,-8)

To find: The Slope?

Step-by-step explanation:

We can find the slope by using the formula

`Slope=(y_2-y_1)/(x_2-x_1)`

We have given the points

(-10,-6) and (2,-8)

Hence,

`\begin{gathered} x_1=-10 \\ y_1=-6 \\ x_2=2 \\ y_2=-8 \end{gathered}`

Therefore,

`\begin{gathered} Slope=(-8-(-6))/(2-(-10)) \\ \\ Slope=(-8+6)/(2+10)=(-2)/(12) \\ \\ Slope=-(1)/(6) \end{gathered}`

Thus, slope = -1/6.

(3) Given: pair of points (-2,1) and (-8,-7)

To find: The Slope?

Step-by-step explanation:

We can find the slope by using the formula

`Slope=(y_2-y_1)/(x_2-x_1)`

We have given the points

(-2,1) and (-8,-7)

Hence,

`\begin{gathered} x_1=-2 \\ y_1=1 \\ x_2=-8 \\ y_2=-7 \end{gathered}`

Therefore,

`\begin{gathered} Slope=(-7-1)/(-8-(-2)) \\ \\ Slope=(-8)/(-8+2)=(-8)/(-6) \\ \\ Slope=(4)/(3) \end{gathered}`

Thus, slope = 4/3.

(5) Given: pair of points (-4,-2) and (-3,3)

To find: The Slope?

Step-by-step explanation:

We can find the slope by using the formula

`Slope=(y_2-y_1)/(x_2-x_1)`

We have given the points

(-4,-2) and (-3,3)

Hence,

`\begin{gathered} x_1=-4 \\ y_1=-2 \\ x_2=-3 \\ y_2=3 \end{gathered}`

Therefore,

`\begin{gathered} Slope=(3-(-2))/(-3-(-4)) \\ \\ Slope=(3+2)/(-3+4)=(5)/(1) \\ \\ Slope=5 \end{gathered}`

Thus, slope = 5.

(14) Given: pair of points (-2,-4) and (-7,6)

To find: The Slope?

Step-by-step explanation:

We can find the slope by using the formula

`Slope=(y_2-y_1)/(x_2-x_1)`

We have given the points

(-2,-4) and (-7,6)

Hence,

`\begin{gathered} x_1=-2 \\ y_1=-4 \\ x_2=-7 \\ y_2=6 \end{gathered}`

Therefore,

`\begin{gathered} Slope=(6-(-4))/(-7-(-2)) \\ \\ Slope=(6+4)/(-7+2)=(10)/(-5) \\ \\ Slope=-2 \end{gathered}`

Thus, slope = -2.

Answer:

(T ) = (3)

(B) = (14)

(H) = (8)

(S) = (16)

(O) = (5)