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meriva
3 years ago
8

A line passes through the points (1, 4) and (3, –4). Which is the equation of the line?

Mathematics
1 answer:
Vikentia [17]3 years ago
5 0
Y = -4x + 8

First you need to find the slope of the line.

The slope formula is m = y2-y1/x2-x1

If you plugged in the points it would be m = -4-4/3-1

so m = -8/2 = -4

so the slope is -4

now we need to write the equation of the line

for this u use point slope form

the formula for that is y-y2=m(x-x1)

so if you plug it in it would be:

y-(-4)=-4(x-3)

now you solve

y+4=-4x+12

y+4-4= -4x+12-4

y = -4x + 8

and now you have the slope of the line

I hope this helps! :)
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James bought 5 1/6pounds of grapes for $7.75. At theunit rate, how much would 3.4 pounds of grapes cost?
frutty [35]

Answer:

Explanation:

5 1/6 pounds of graphs are bought for $7.75, meaning 1 pound costs

\frac{7.75\text{ dollars}}{5\frac{1}{6}lb}

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The first step is to convert the mixed number 5 1/6 into an improper fraction.

Now, it is true that

5\frac{1}{6}=5+\frac{1}{6}

multiplying 5 by 6/6 gives

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7 0
1 year ago
Write the equation of the line that passes through (3,-2) and has a slope of 4 in point-slope form.
monitta
Well first, we have to find the y intercept. So plug in your coordinates.
-2 = 4 (3) + b
Simplify
-2 = 12 + b
now, let's put like terms together.
-14 = b
b= -14
Hope I could help!
7 0
4 years ago
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(6,3); (1,4)<br><br> Slope<br><br> Giving brainless answer
lorasvet [3.4K]

Answer:

I think it is -5

I am actually not sure

Step-by-step explanation:

8 0
3 years ago
The point slope form of the equation of the line that passes Through (-4,3) and (12,1) is y-1=1\4(x-12) what is the standard for
Leokris [45]
Something is wrong here, the slope is off...

m=(y2-y1)/(x2-x1)

m=(1-3)/(12--4)

m=-2/16

m=-1/8

So the point slope form should be:

y-1=(-1/8)(x-12)

The standard form of the line is ax+by=c so we need to rearrange it to reflect the this form...multiply both sides by -8 to get:

8-8y=x-12  subtract 8 from both sides

-8y=x-20  subtract x from both sides

-x-8y=-20  by convention, the coefficient of x should be positive, multiply both sides by -1

x+8y=20

....

Just to show that the equation given you is incorrect..

y-1=(x-12)/4  using the point (-4,3)

3-1=(-4-12)/4

2=-16/4

2=-4  which is obviously incorrect...(they had the wrong slope for the two points given)
5 0
4 years ago
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