Complete equation of the line through (1,4) and (2,2)

y = - 2x + 6

Step-by-step explanation:

y=mx + c

m is the gradient and c is the y intercept

m = (y 2 - y 1) / (x 2 - x 1) = (2-4) / (2-1) = - 2

y = - 2x + c

To find c, just sub one of the coordinates into the eqn:

By using the coordinates (1,4)

4 = - 2 (1) + c

c = 6

Therefore, the equation is y = - 2x + 6