Question

Use the form y=mx +b for linear equations.Write the equation for the following relation. C = {(x, y): (6, 15), (8, 21), (10, 27), . . .}

Answer 1

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Explanation:

Answer 2

I'm not sure if the answer is right, but here you go.

y=mx+b

'm' is for gradient of the line. First, calculate the gradient.

Let's use (6,15) and (8,21)

Gradient, m =
`y_(2)` -
`y_(1)`
--------------

`x_(2)` -
`x_(1)`

= 21 - 15 = 6 = 3
----------- ----
8 - 6 2

Therefore, m = 3 . Now let's search 'b' .
Let's use (6,15) again. Substitute it into the equation.

y=mx+b
15 = 3 (6) + b
b = -3

Thus, the equation : y=3x -3