What is the slope of the line that passes throught the pair of points (1, 7) and (10, 1)?a. 3/2
b. -2/3
c. -3/2
d. 2/3

8. What is the slope of the line that passes through the points (-5.5, 6.1) and (-2.5, 3.1)?

a. -1
b. 1
c. -3
d. d

9. what is the slope of the line that passes through the pair of points (-7/3, -3) and (-5, 5/2)?

a. 6/22
b. -6/22
c. 22/6
d. -22/6

Answers

Answer 1

Answer: Answers
1) b. -2/3
2) a. -1
3) -33/16 (no correct answer from the choices)

Explanation
The slope of a line is simply the gradient.
The gradient is the ratio of change in y to change in x.
Gradient = (y2-y1)/(x2-x1)

Question 1
Slope =((7-1))/((1-10) )=6/(-9)=-2/3

Question 2
Slope = (6.1-3.1)/(-5.5—2.5)=3/(-3)=-1

Question 3
Slope = (5/2—3)/(-5—7/3)=(11/2)/(-8/3)=-33/16

For question 3, there is no correct answer.

Answer 2

Answer:

Answer:

The slope of the line that passes through the pair of points (1, 7) and (10, 1) is $(-2)/(3)$

The slope of the line that passes through the points (-5.5, 6.1) and (-2.5, 3.1) is -1

The slope of the line that passes through the pair of points (-7/3, -3) and (-5, 5/2) is $(-33)/(16)$

Step-by-step explanation:

Formula of slope of line (m) : $(y_2-y_1)/(x_2-x_1)$

Part 1 : Points are (1, 7) and (10, 1)

$(x_1,y_1) =(1,7)$

$(x_2,y_2) =(10,1)$

So, using formula

Slope (m) $=(1-7)/(10-1)$

$=(-6)/(9)$

$=(-2)/(3)$

Thus the slope of the line that passes through the pair of points (1, 7) and (10, 1) is $(-2)/(3)$

Part 2:Points (-5.5, 6.1) and (-2.5, 3.1)

$(x_1,y_1) =(-5.5,6.1)$

$(x_2,y_2) =(-2.5,3.1)$

So, using formula

Slope (m) $=(3.1-6.1)/(-2.5-(-5.5))$

$=(-3)/(3)$

$= -1$

Thus the slope of the line that passes through the points (-5.5, 6.1) and (-2.5, 3.1) is -1

Part 3 : Points (-7/3, -3) and (-5, 5/2)

$(x_1,y_1) =(-7/3,-3)$

$(x_2,y_2) =(-5,5/2)$

So, using formula

Slope (m) $=((5)/(2)-(-3))/(-5-((-7)/(3)))$

$=((5)/(2)+3)/(-5+(7)/(3))$

$=(-33)/(16)$

Thus the slope of the line that passes through the pair of points (-7/3, -3) and (-5, 5/2) is $(-33)/(16)$

Related Questions

Can anyone help me choose the correct answer?!
What is 9/10 - 1/10 equal.
What two factors multiply to -60 and adds up to 11
During scuba lessons, Sue dove 30 feet, Harriet dove 120 feet, and Kathy dove 90 feet.What integers represent these depths? Order the integers from least to greatest. (Remember, the depth is underneath the surface of the water.)
Solve the equation for the indicated variablex - 3y for y

At a restaurant you ordera meal and a beverage that cost $14. You leave a 20% tip and the sales tax is 6%. What is the total cost of the meal?

Answers

Total cost of the meal will be $17.64.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Given that;

The cost of meal and a beverage = $14

The tip = 20%

The sales tax = 6%

Now,

Since, The cost of meal and a beverage = $14

Hence, The cost for tip = 20% of 14

= 20/100 x 14

= $2.8

And, The cost for sales tax = 6% of 14

= 6/100 x 14

= $0.84

Thus, Total cost of the meal = $14 + $2.8 + $0.84

= $17.64

Therefore, Total cost of the meal will be $17.64.

Learn more about the percent visit:

brainly.com/question/843074

#SPJ2

To find the answer you can just multiply the cost by the sales tax and the tip.

Cost * Sales Tax * Tip=
14 * (14 * 0.2) * (14 * 0.06) =
$17.81 (Rounded to the nearest cent)

A ball is dropped from a height of 12 feet and returns to a height that is one-half of the height from which it fell. The ball continues to bounce half the height of the previous bounce each time. How far will the ball have traveled when it hits the ground for the fourth time?

Answers

1 st hit=12 ft
2nd hit=2*6=12 ft
3rd hit=2*3=6 ft
4th hit=2*1.5=3 ft
total distance=12+12+6+3=33 ft

What is 90 out of 95 written as a fraction?

Answers

$90\ out\ of\ 95 = (90)/(95)\ which\ simplifies\ to\ (18)/(19)$

90/95 or it can also be written as 90 over 95

Absolute value of -11

Answers

Hi there! Absolute value means the opposite of a number. Like -11, the opposite of -11 is 11. Therefore, the absolute value of -11 is 11.

Its positive 11 because its the opposite of negative -11

hope this helps

A skier has decided that on each trip down a slope, she will do 2 more jumps than before. On her first trip she did 6 jumps. Derive the sigma notation that shows how many total jumps she attempts from her fourth trip down the hill through her twelfth trip. Then solve for the number of total jumps from her second to tenth trips.

Answers

∑i=2i=10(4+2n)= You can do it by hand, w/o much work . plug in n=2 into (4+2n) then plug in n=3 into (4+2n) then plug in n=4 into (4+2n) etc until you get to n=10. Add them all up.
add 8 + 10 + 12 + 14 + 16 + 18 + 20 + 22 + 24
144 jumps!

What is the greatest possible error if Irina measured the weight of her dog as 13 pounds?0.1 pounds
0.5 pounds
12.5 pounds
13.5 pounds

Answers

Answer:

Option B is the correct answer.

Step-by-step explanation:

Irina measured the weight of her dog as 13 pounds.

If value is 13 she rounded the values in between 12.5 to 13.49 to 13 pounds.

Maximum possible error = 13 - 12.5 = 0.5 pounds.

Maximum possible error = 0.5 pounds.

Option B is the correct answer.

Other Questions

What are the possible values of x in 6x^2 + 432 = 0

What value of x will make 3x+1=43 true

If f(x)=3-|7+2x|, evaluate if f(-5)

Solve the following quadratic by factoring1) x²+5x+6=0 2) x²+10x+21=0 3) x²+8x+15=0 4) x²+9x+14=0 5) x²-2x35=0