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),}

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

RELATED: