MATHEMATICS HIGH SCHOOL

Determine the slope of the line that passes through each pair of points.1.(5,1) and (2,7)
2.(5,3)and(-2,3)

Answers

Answer 1
Answer: 1.)\n\n(5,1) \ \ and \ \ (2,7)\n\nFirst \ find \ the \ slope \ of \ the \ line \ thru \ the \ points \: \n \n m= (y_(2)-y_(1))/(x_(2)-x_(1) ) \n \nm=( 7-1)/(2-5) = (6)/(-3)=-2 \n \n Use \ point \ form \ of \ a \ line\ with \ one \ point: \n \n y-y_(1) =m(x-x _(1)) \n \nm=-2 , \ \x_(1)=5, \ \ y_(1)=1 \n \ny-1 = -2(x-5 ) \n\ny=-2x+10+1 \n \ny=-2x+11


2.)\n\n(5,3)\ \ and \ \ (-2,3)\n\nFirst \ find \ the \ slope \ of \ the \ line \ thru \ the \ points \: \n \n m= (y_(2)-y_(1))/(x_(2)-x_(1) ) \n \nm=( 3-3)/(-2-5) = (0)/(-7)=0\n \n Use \ point \ form \ of \ a \ line\ with \ one \ point: \n \n y-y_(1) =m(x-x _(1)) \n \nm=0 , \ \x_(1)=5, \ \ y_(1)=3 \n \ny-3 = 0\cdot (x-5 ) \n\ny-3=0 \n \ny=3

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-What is the midpoint between the points (7, 3) and (-5, 5)?

Answers

Answer:

The midpoint is ( 1,4)

Step-by-step explanation:

To find the x coordinate of the midpoint add the x coordinates of the endpoint and divide by 2

( 7+-5)/2 = 2/2 =1

To find the y coordinate of the midpoint add the y coordinates of the endpoint and divide by 2

( 3+5)/2 = 8/2 =4

The midpoint is ( 1,4)

A line includes the points (2, 10) and (1, 0). What is its equation in slope-intercept form?

Answers

Answer:

y=10x-10

Hope this helped <3

3. Kendall is going to a store that sells abottle of iced tea for $1.99 and a pack of
six bottles for $9.65. Kendall buys five
bottles of iced tea. Is Kendall being
financially responsible or financially irresponsible? Explain.

Answers

Answer: financially irresponsible

Step-by-step explanation:

Kendall is buying 5 for $9.95 when she could buy 6 for $9.65 which would get her another bottle and save 30 cents

How many feet are in 96 inches?

Answers

since 1 foot = 12 inches just do 96 ÷ 12

96 ÷ 12 = 8

Therefore, 
There are 8 feet in 96 inches.  

Hope this helps and have a great day! :D 
8 because 12x8=96 and 12 inches in a foot

What is the simplified form of the quantity of x plus 6, all over 3 − the quantity of x plus 2, all over 3?

Answers

it is going to be an negative x

How many halves are there in 14 and a halfhow many halves are there in 14 and a half

Answers

14, 1/2 = 29/2
14 x 2 since it's a half = 28 plus another half is 29 halves :)
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