What equation of the line passes through the points (0,6) and (2,10)

Answer 1

First find the slope using the formula

m = (Y2 - y1)/(x2 - x1)

(x1, y1) = (0,6)

(x2, y2) = (2,10)

m = (10-6)/(2-0)

m = 4/2

m = 2

Now we need the y-intercept or b

y = mx + b

y = 2x + b

Use one of the coordinates for x and y. It doesn't matter which you choose

6 = 2(0) + b

6 = 0 + b

6 = b

Now let's put it together for the equation :

y = 2x + 6