Is #y = 2x + 5# a direct variation and if so, how do you find the constant?

1 Answer
May 24, 2015

Yes, it is direct variation. The constant is 2

A direct variation always gives a straight line graph and can be expressed as y =ax + b where a and b are constants. a represents the slope of the line - the bigger it's value the steeper the slope. b is the value of y when x = 0 and is therefore where the line crosses the vertical axis. b is the value normally referred to as the constant and a as the slope. Therefore in this case the constant is 5.