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4 years ago

Write an equation of the line that passes through(2,7) and (0,-5)

Mathematics

1 answer:

SVETLANKA909090 [29]4 years ago

5 0

Answer:

$-6x + y = -5\:or\:y = 6x - 5$

Step-by-step explanation:

First, find the rate of change [slope]:

$\frac{-y_1 + y_2}{-x_1 + x_2} = m$

$\frac{-7 - 5}{-2 ± 0} = \frac{-12}{-2} = 6$

Then plug these coordinates into the Slope-Intercept Formula instead of the Point-Slope Formula because you get it done much swiftly. In this case, we have a y-intercept of $[0, -5]$ , so this is a giveaway. It does not matter which ordered pair you choose:

$-5 = b \\ \\ y = 6x - 5$

If you want it in Standard Form:

y = 6x - 5

- 6x - 6x

_________

$-6x + y = -5$

_______________________________________________

7 = 6[2] + b

$-5 = b \\ \\ y = 6x - 5$

y = 6x - 5

- 6x - 6x

_________

$-6x + y = -5$

** You see? I told you it did not matter which ordered pair you choose because you will always get the exact same result.

I am joyous to assist you anytime.

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If you add the digits in a two-digit number and multiply the sum by 7, you get the original number. If you reverse the digits in

kolbaska11 [484]

The answer is A. 42

Solution:
Let x= ones digit, y=tens digit

1st condition (original number) : 7(x+y)=10y + x
2nd condition (new number by reversing the digits): 18+x+y=10x+y

simplifying:
1st condition: 6x=3y
2nd condition: x=2
substituting x=2 to 6x=3y
y=4

3 0

3 years ago

Read 2 more answers

All of the expressions that have the same value as LaTeX: 892\div8892 ÷ 8. Group of answer choices LaTeX: 8920\div808920 ÷ 80 La

algol13

Answer:

$(a)$ $8920\div80$

$(e)$ $0.892\div0.008$

Step-by-step explanation:

Given

$892\div8$

Required

Select equivalent expression

$8920\div80$

$894\div10$

$89.2\div0.08$

$8.92\div0.8$

$0.892\div0.008$

Start by solving the given expression (using a calculator)

$892\div8$ $= 111.5$

Then we solve the given options (using a calculator)

$(a)$ $8920\div80$

$8920\div80$ $= 111.5$

$(b)$ $894\div10$

$894\div10$ $= 89.4$

$(c)$ $89.2\div0.08$

$89.2\div0.08$ $= 1115$

$(d)$ $8.92\div0.8$

$8.92\div0.8$ $= 11.15$

$(e)$ $0.892\div0.008$

$0.892\div0.008$ $= 111.5$

The equivalent expressions are (a) and (e)

5 0

3 years ago

Aunt Kendra is pricing cakes for a baby shower she is throwing. She wants one large cake shaped like a duckling and also some cu

Andreas93 [3]

Answer:

$70

Step-by-step explanation:

Middletown Equation:

1c +50 = T

Sweet Shoppe Equation:

2c + 30 = T

Set equations equal to one another and solve for first for cupcakes then for cost.

1c + 50 = 2c + 30

c+ 20 = 2c

20 = c (twenty cupcakes would be ordered)

Now insert into either equation ( or both to check)

1(20) + 50 = 70

2(20)+ 30 = 70

Total cost would be $70

HOPE THIS HELPS!!!

4 0

2 years ago

A store is having a sale on walnuts and chocolate chips. For 2 pounds of walnuts and 5 pounds of chocolate chips, the total cost

oksian1 [2.3K]

It will be $2.50 for each pound of walnuts, and it will be $1 for each pound of chocolate chips.

I know this hold true because when we multiply $2.50 by 2, we get $5, and add that to the other $5 from the chocolate chips and we will get $10. We can also multiply $2.50 by 8 and add $3 from chocolate chips to get $20 + $3, or $23.

8 0

4 years ago

Read 2 more answers

Find x=, if x-12=24 now!?

V125BC [204]

Answer:

Answer is 36

Step-by-step explanation:

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5 0

3 years ago

Read 2 more answers