For lines to be parallel, the slopes have to be the SAME.
To find the value of k, you can first find the slope of line 1 using the slope(m) formula, and plug in the points:



Now that you know the slope, you can use the slope formula to find k by plugging in what you know:

Multiply (5 - k) on both sides
Multiply -2 on both sides
5 - k = -2(7 + 1)
5 - k = -2(8)
5 - k = -16 Subtract 5 on both sides
-k = -21 Divide -1 on both sides
k = 21
Answer:
ok its a fraction the top is -1 and the bottom is 2
Step-by-step explanation:
Answer:
x= 7 1/2
Step-by-step explanation:
Subtract the 1/2 to get it out of the way (whatever you do on one side of the = sign you have to do to the other)
So 10- 1/2= 9 1/2
Subtract the 2 to get it out of the way
9 1/2-2=
7 1/2
Hope it helped :)
The equation that represents the relationship between the number of liters, x, and the number of liquid pints, y is y = 2.11x
<h3>How to determine the equation?</h3>
The attached table of values represents the missing piece in the question.
Start by calculating the rate of change using:
m = (y2 - y1)/(x2 - x1)
This gives
m = (14.77 - 10.55)/(7- 5)
Evaluate
m = 2.11
The equation is then calculated using:
y = m(x - x1) + y1
This gives
y = 2.11(x - 5) + 10.55
Evaluate
y = 2.11x - 10.55 + 10.55
y = 2.11x
Hence, the equation that represents the relationship between the number of liters, x, and the number of liquid pints, y is y = 2.11x
Read more about linear equations at:
brainly.com/question/14323743
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I didn’t use a calculator and I got 1.154