A line passes through the points (4,6) and (10,y) and has a slope of 5/3. what is the value of y?

Answer 1

5/3 = (y-6)/(x-4) slope = "rise over run" = the difference in y values over the difference in x values

5/3 = (y-6)/(10-4)

5/3 = (y-6)/6

multiply both sides by 6

y-6 = (5/3)(6) = 10

y = 16

(10,16) and (4,6) have a line through them with slope = 5/3

5/3 = (16-6)/(10-4) = 10/6

it might help to plot the two points and draw a line through them.

start at (4,6). as x increases by 3, y increases by 5. As x increases by 6, y increases by 10

4+6 = 10, 6+10 = 16