Answer:
y = 2x
Step-by-step explanation:
The equation of a line is y = mx + b
We can plug in values for x and y,:
x = 1, y = 2
2 = m + b <- equation 1
x = 4 y = 8
8 = 4m + b <- equation 2
We can multiply equation 1 by 4, getting 8 = 4m + 4b.
We can them subtract equation 1 by equation 2, getting 3b = 0.
Therefore, b = 0.
We can use the equation 2 = m + b and find m:
Since b = 0, m = 2.
The equation is then y = 2x.
