Write an equation in slope-intercept form of the line that passes through (7, 2) and (2, 12).

Answer 1

y = mx + b

m = (12 - 2)/(2 - 7) = 10/-5 = -2

2 = -2(7) + b

2 = -14 + b

b = 16

y = -2x + 16

Answer 2

slope intercept form: y = mx + b --- need to find m (slope) and b (y-intercept)

slope = change in y coordinate/change in x coordinate = (12-2)/(2-7) = -2

so y = -2x + b

plug one of points into equation (for x and y) and solve for b --- chose (7,2) for example:

2 = -2*7 + b

b = 16

so y = -2x +16 is the equation