Question

Can someone help with this please?

Answer 1

y = 4x

Explanation:

Using two points, (1, 4) and (2, 8),

Slope =
`m = (y_2 - y_1)/(x_2 - x_1) = (8 - 4)/(2 - 1) = (4)/(1) = 4`

m = 4

Substitute m = 4, x = 1, and y = 4 into y = mx + b.

Thus:

4 = (4)(1) + b

4 = 4 + b

4 - 4 = b

0 = b

b = 0

To find the equation, substitute m = 4 and b = 0 into y = mx + b

Thus:

y = (4)(x) + 0

y = 4x