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Dafna1 [17]
2 years ago
14

Which iS an equation of the line with a slope of 1/4 and a y-intercept of -2?

Mathematics
1 answer:
qaws [65]2 years ago
5 0

Answer: C

Step-by-step explanation:

Convert all equations into slope-intercept form, the equation must have a slope of 1/4 and a y-intercept of -2

A) x + 4y = -8

4 ÷ (4y = - x - 8) ÷ 4

y = -1/4x - 2 --> Not the correct equation because slope is negative

B) 4x - y = 2

-1 ÷ (- y = 2 - 4x) ÷ -1

y = 4x - 2 --> Not the correct equation as the slope is not a fraction

C) x - 4y = 8

-4y = 8 - x

-4 ÷ (x - 4y = 8) ÷ -4

y = 1/4x - 2 --> Therefore, C is the correct equation

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Find an equation for the line with the given properties. Perpendicular to the line 7x - 3y = 68; containing the point (8, -8)
Sever21 [200]

Answer:

y=\dfrac{-3}{7}x-\dfrac{32}{7}

Step-by-step explanation:

Given that,

A line 7x - 3y = 68 and containing the point (8, -8).

The equation can be written as :

-3y=68-7x\\\\y=\dfrac{68}{-3}+\dfrac{7x}{3}\\\\y=\dfrac{7x}{3}+(\dfrac{-68}{3})

The slope is :7/3

Line is perpendicular so use m = –3/7

-8=(-\dfrac{3}{7})\times 8+b\\\\-8+\dfrac{3}{7}\times 8=b\\\\b=\dfrac{-32}{7}

So, required equation is :

y=\dfrac{-3}{7}x-\dfrac{32}{7}

6 0
3 years ago
Adam baked a cake. John ate of a cake. Susan ate of what was left. How much of the original 6 1 5 1 cake was left?
ikadub [295]

Answer:

4/6 of the cake is left

Steps down below

Step-by-step explanation:

How i got the answer:

As we know that the question is asking how much, so and we also know that Susan ate 1/5 of 5/6 so the and for the equation will be 1/6. So 5/6 - 1/6 will give you the correct answer for this question.

Steps:

1: Subtract the numbers so 5/6 subtract 1/6 =4/6

Answer: 4/6

<em><u>Hope this helps.</u></em>

5 0
3 years ago
Ron is slicing 5 pizzas each pizza slice is 1/8 of the pizza. How many pizza slices will be there in all
Goryan [66]

Answer:

there would be 40 slices of pizza

Step-by-step explanation:

If 5 pizzas each have 8 slices you multiply 5 X 8 which equals 40 slices

3 0
3 years ago
Read 2 more answers
How many solutions does the following system of equations have?
olganol [36]
The answer would be two
8 0
3 years ago
HELP PLEASE!
chubhunter [2.5K]

Answer:

B

Step-by-step explanation:

Gambling is the act of risking something of material value on an uncertain outcome. The people who gamble are totally unaware of the outcome. The outcomes are unpredictable so it is risking something of material to win a something of greater material value.

5 0
3 years ago
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