Find the equation of the line passing through the given points. Express the equation in standard form.
(1,-6) and (-7,2)

We want to write the equation of the line passing through these two points in standard form.

First, we are going to do this in slope intercept form and then change the form to standard form, which is Ax + By = C

We will use the equation y = mx + b, and since we are given two points on the line we are going to determine the slope of the line by determining the  change in the y coordinates

m = y sub2  - y sub1 divided by the change in the X coordinates  x sub2 – x sub1              

We will start by determining the slope

(1, -6) the 1 is x sub 1  and the 6 is y sub 1

(-7, 2) the -7 is x sub 2 and the 2 is y sub 2

2 - (-6) = 8

-7 -1 = -8

so equation now is m = -1

So now again referring back to the slope intercept of the line we now know y = -1 + b.  We still have to determine b and the y intercept, and we can do this by using one of the given points and substituting in the value for y and x, and then solve for b.  Since these points are on the line, they must satisfy this equation.  If we use the first coordinates, we would substitute 1 for x and -6 for y.  

-6 =  -1 times x, which is 1 + b

b = -5

construct the line equation y = mx + b where m = -1 & b = -5

In slope intercept form the equation would be y = -x - 5

Now we want to write this in standard form now.  We have to deal with two things.  The x and y terms have to be on the left side and A and B and C have to be integers.  

The standard form of a linear equation is Ax + By=CA x + By = C .   Move all terms containing variables to the left side of the equation.

Add x to both sides of the equation.

y + x = -5

Reorder y & x

x + y = -5

Alonzo earns 8% commission on vacuum cleaner sales. This past month, Alonzo sold 70 units at $150.00 each. How much did Alonzo make in commissions for the past month? Explain how you found your answer.

what best describes the relationship between the lines with equations y + 3x = 10 and 2y = -6x + 4?

Meg has a can that contains 80% orange juice and the rest water. The can has 1 liter of water.

Part A: Write an equation using one variable that can be used to find the total number of liters of orange juice and water in the can. Define the variable used in the equation. (5 points)

Part B: How many liters of orange juice are present in the can? Show your work. (5 points)
help

1x + 2 - 3 = 8


what is x?

Plz help me I’ll give brainliest

A restaurant manager states the number of customers that enter the restaurant is equal to 4

times the number of people that buy a hotdog from the hotdog cart plus 11. The manager also

states that the number of customers that enter their restaurant is equal to 1 times the number of

people that buy a hotdog from the hotdog cart plus 38. What number of people buying a hotdog

from the hotdog cart across the street makes the equation 4x + 11 = 1x + 38 true? Round

your answer to the nearest whole number.

15x+10 80
I need help plzzzzzzz

GIVING BRAINLIST PLSSSSSSSSSSSSSSSS

Which expression is equivalent to the given expression?

​4(a−3)​

​ −8a ​
​4a−12​
4a−3
−4(a+3)

I need to simplify this but if how can someone please help ASAP

4) After solving a rational equation you must check your solutions in the
original equation. Why? *
To make sure the value does not make the numerator 0.
O
To make sure the value does not make the denominator 1.
O To make sure the value does not make the numerator negative.
To make sure the value does not make the denominator 0.​

At the grocery store, Jerry spent $24.75 for 3 pounds of chicken and 3 pounds of cheese. The cheese cost $4.50 per pound. What was the cost of the chicken
per pound?

3) Round 12,547 to the nearest ten. 500 rb
4) Draw a model of the fraction 8/9 to

Which equation can you create with the given information? m=6, b=-2 A.) y=6x-2 B.) y=6x+2 C.) y=2x+6 D.) y=-2x-6

I NEED HELP!! I WILL GIVE BRAINLIEST PLUS 15 POINTS

The perimeter of a worksheet is 48 inches. The worksheet is 14 inches long. How tall is it?
inches

Please answer correctly !!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!

Zoe buys gummy bears that come in 3.53 once bags how many ounces of gummy bears are there win 3 bags?

Need help ASAP. Will mark brainliest if correct.

On another training ride, Jana bikes 15 miles in 50 minutes. Explain how you
could find the number of miles she bikes in 1 hour

A Rope 25 feet long is cut into 3 pieces. The first piece is 2x feet long, the second piece is 5x feet long, and the third piece is 4 feet long ??​

The graph shows the linear parent function . Which statement best describes the function?
A. The function is negative when x<0 and also when x>0
B.the function is never negative
C.the function is negative when x>0
D. The function is negative when x<0

The function f(t) = |98.6-x|, represents a persons's variance from normal body temperature, where x represents a person's current body temperature in degrees Fahrenheit. Medical professionals say healthy individuals should have a variance of no more than 0.5 degrees Fahrenheit.

Write any two numbers between 1.5 and 1.6​

15 points to Answer this!! Really need help this Important!!

What’s the answer for the question a,b,c,or d

for every 5 hours that he works, andre is paid $60.20.
how much is he made in hour 1?
how much did he make in hour 2?
how much did he make in hour 3?
how much did he made in hour 4?
how much did he make in hour 5?

Ben and Jerry together own 75 comic books. If Ben owns 31 comic books, how many does Jerry own?

Max and his brother exercise together. Max does half as many sit-ups as his brother does during a workout. If Max's brother does between 100 and 150 sit-ups, which expression describes s, the number of sit-ups that Max does?
A. 0 ≤ s ≤ 50
B. 50 ≤ s≤ 75
C. 100 ≤ s ≤ 150
D. 200 ≤ s ≤ 300

PLEASE HELP!! IF U GET IT RIGHT ILL GIVE U A BRAINLIEST :)

which point is the image of P​