Question

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

Answer 1

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

Answer 2

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`.