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If the slop of the line passing through the points R(2,y) and S(x, 3) is 2, then find the relation between x and

User JubJub
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2 Answers

5 votes

Answer:

We can use the slope formula to write:

slope = (change in y) / (change in x)

Given that the slope of the line passing through R(2,y) and S(x,3) is 2, we have:

2 = (3 - y) / (x - 2)

Multiplying both sides by (x - 2), we get:

2(x - 2) = 3 - y

Expanding the left side of the equation gives:

2x - 4 = 3 - y

Adding y to both sides of the equation gives:

2x - 4 + y = 3

Adding 4 to both sides of the equation gives:

2x + y = 7

Therefore, the relation between x and y is:

y = 7 - 2x

User Greg Olmstead
by
8.1k points
5 votes

Answer:

Explanation:


m=(y_2-y_1)/(x_2-x_1)


\text{For }m=2, \text{ points }(2,y) \text{ and } (x,3)


2=(3-y)/(x-2) (Now multiply both sides by
(x-2))


2(x-2)=3-y (Now expand brackets)


2x-4=3-y (Now add y to both sides)


2x-4+y=3 (Now add 4 to both sides)


2x+y=7

SOLUTION: The relation between x and y is
2x+y=7.

User Dshukertjr
by
7.6k points

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