The ordered pair (2, 10), is a solution of a direct variation, how do you write the equation of direct variation, then graph your equation and show that the slope of the line is equal to the constant of variation?

1 Answer
Nov 11, 2017

#y=5x#

Explanation:

#"given "ypropx#

#"then "y=kxlarrcolor(blue)"equation for direct variation"#

#"where k is the constant of variation"#

#"to find k use the given coordinate point "(2,10)#

#y=kxrArrk=y/x=10/2=5#

#"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=5x)color(white)(2/2)|)))#

#y=5x" has the form "y=mxlarrcolor(blue)"m is the slope"#

#rArry=5x" is a straight line passing through the origin"#
#"with slope m = 5"#
graph{5x [-10, 10, -5, 5]}