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d1i1m1o1n [39]
3 years ago
6

Which equation represents a line that is parallel to the line represented by

Mathematics
1 answer:
Sveta_85 [38]3 years ago
5 0

Answer:

y = -4x + 12

Step-by-step explanation:

For a line to be parallel, it needs to have the same slope.

Point intercept form: y - y₁ = m (x - x₁)

Where y and x are just kept as y and x, y₁ and x₁ are the parts of a coordinate, and m = slope.

So, in order for the line to be parallel, it needs to have the same slope as the first equation. The slope of the line (which is the "m" in y = mx + b) is..

4x + y = 7

y = -4x + 7

So, m, or the slope, is -4.

Plug this, along with the coordinate the problem gives you into point-intercept form.

y - y₁ = m (x - x₁)

y - 8 = -4 (x - 1)

Simplify.

y - 8 = -4x + 4

Add 8 to both sides.

y = -4x + 12

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Dennis_Churaev [7]

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6 0
3 years ago
Urgently needed<br> see image
Lorico [155]

y2-y1 =M(x2-x1)

Ok Sir, you gave points : (2,1) and (3,4)

4-1/3-2 = 3

Ok we know our slope is 3, now pick any of the two points, and make an equation for this line, so lets go ahead and pick #1, (2,1)

Formula is same as before

y-1=3x-6

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7 0
3 years ago
When 142 is added to a number, the result is 64 more times than 3 times the number. What is the number?
allsm [11]

x+142 =3x+64

subtract x from each side

142 = 2x+64

subtract 64 from each side

142-64 = 2x

78=2x

divide by 2

78/2 = x

x=39

The number is 39

3 0
3 years ago
Read 2 more answers
A bag contains 56 marbles ,some red ,some yellow ,some blue,there are half as many red as blue and eight more yellow than red .h
Delicious77 [7]
Let red marbles be x.

Blue : 2x
Red : x
Yellow : x+8

2x + x + x + 8 = 56
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x = 12

Red marbles: 12
Blue : 24
Yellow: 20
7 0
3 years ago
Rearrange to make x the subject of 4(x-3)/a=y
IrinaVladis [17]

Answer: x = a*y + 3

Step-by-step explanation:

To make x the subject of the equation, first, we open the bracket

4x - 12/a = y

Then cross multiply:

4x - 12 = a * y ( a*y means the product of the two variables)

Add 12 to both sides of the equation

4x = a*y + 12

Divide both sides by 4 to get the value of x

x = a * y + 12/4

x = a*y + 3

I hope this helps.

4 0
3 years ago
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