Use the form [tex]y = mx + b[/tex] for linear equations. Write the equation for the following relation:
[tex]C = \{(x, y): (6, 15), (8, 21), (10, 27), \ldots\}[/tex]
Answer (3)
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
Answer: Use Desmos.com/calculator ;
The equation for the relation represented by the points (6, 15), (8, 21), and (10, 27) is y = 3 x − 3 . This was derived by calculating the slope and y-intercept using the formula y = m x + b . By substituting the points into the equation, we confirmed its accuracy.
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