Line ab passes through points a(–6, 6) and b(12, 3). if the equation of the line is written in slope-intercept form, y = mx + b, then m = – and b =

Slope = (6-3) / -6-12) = 3 / -18  = -1/6

y = -1/6 x + b

Plug in x = -6 and y = 6 to find the value of b:-

6 = -1/6*-6 + b
b = 6-1 = 5

So the answer is  m = -1/6 and b = 5

When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates. if you have a multiple-unit rate such as 120 students for every 3 buses, and want to find the single-unit rate, write a ratio equal to the multiple-unit rate with 1 as the second term.