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
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]}
