A line passes through the points (-2, 9) and (1, 3). Provide work for calculating the slope and y-intercept. Then, write the equation for the line in slope-intercept form.

Aswimming pool has an input pump for filling the pool and an output pump for emptying the pool. the input pump can fill the pool in 3 hours, and the output pump can drain the pool in 5 hours. as you go to bed, the pool is full, but a neighbor’s kid turns on the output pump. at midnight, you awake to find the pool half empty. immediately, you turn on the input pump, but you are sleepy and forget to turn off the output pump. at what time will the pool become full?

Aline has a slope of 1/4 and passes through point (0.4,-1/2). what is the value of the y-intercept?

Complex numbers multiply √-4 * √-25 and show all intermediate steps. alternative notation is sqrt(-4) * sqrt(-25).