A line passes through the points (-5,-2) and (0,2) what is the slope

Using the point slope form: y−y1=m(x−x1)

Step-by-step explanation:

Plug in the point's   x & y values into x1,y1y−  −2=5(x−5)

Simplify and distribute:

y+2=5x - 25

y=5x-25-2

y=5x-27

The linear function that discribes the size of the population in function of the t in years is p = 700t - 1,397,300

Step-by-step explanation:

A linear function is defined by a line, so in order to determine the linear function we can use the two points that were given to us to create a line equation and use that as our linear function. The points given to us were (2009; 9000) and (2014; 12500), in this case the year is our value of "x" and the size of the population is our value of "y". The first step is to find the slope of the line which is given by:

m = (y2 - y1)/(x2 - x1)

m = (12500 -9000)/(2014 - 2009) = 3500/5 = 700

Then we can use the slope and the first point to build the equation:

p - 9000 = 700*(t - 2009)

p = 700t - 1406300 + 9000

p = 700t - 1397300