Given that a linear function goes through the points (3,2) and (5, 6) determine the slope of the line.

2

Step-by-step explanation:

The formula of slope from 2 points is change in y divided by change in x, so you can apply that to this problem.

First, find the change in y between the two points. To do this, do y2 - y1.

y2 = 6 and y1 = 2, so you have 6 - 2 = 4.

Next, find the change in x between the two points. To do this, do x2 - x1.

x2 = 5 and x1 = 3, so you have 5 - 3 = 2.

All you're really doing here is finding the distance between the x values and the y values of the points, if that makes sense.

The last step is to do change in y divided by change in x, so 4 / 2 = 2.

This means that the slope of the line is 2.

isaiah walks 3 miles due north, turns and then 5 miles due east. how far is he from his starting point?

a^2 + b^2 = c^2

let c = distance from starting point.

(3)^2 + (5)^2 = c^2

9 + 25 = c^2

34 = c^2

sqrt{34} = sqrt{c^2}

sqrt{34} = c