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storchak [24]
3 years ago
9

A line passes through (4, 5) and (8, 9). Which equation best represents the line?

Mathematics
2 answers:
geniusboy [140]3 years ago
6 0
Y=x+1 is the anwser
to the question
S_A_V [24]3 years ago
4 0
Here, Coordinates: (4, 5) & (8, 9)
Calculation of Slope, m = y2-y1 / x2-x1
m = 9-5 / 8-4
m = 4 / 4
m = 1

Now, Take any coordinate: 
y - y1 = m(x - x1)
y - 5 = 1(x - 4)
y - 5 = x - 4
y = x + 1

In short, Your Answer would be: y = x + 1

Hope this helps!
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Answer: 2x + 5y = -5

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Two lines are said to be parallel if they have the same slope.

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To find the slope , we will write it in the form y = mx + c , where m is the slope and c is the y - intercept.

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5y = -2x + 10

y = -2/5x + 10/5

y = -2/5x + 2

This means that the slope is -2/5 ,the line that is parallel to this line will also have a slope of -2/5.

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therefore :

2x + 5y = -5 is the equation of the line that is parallel to 2x + 5y = 10

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