How do you draw the graph of direct variation that includes the point (1,6) and write the equation of the line?
1 Answer
Aug 12, 2017
Explanation:
#"a direct variation equation is of the form"#
#y=kxlarr" k is the constant of variation"#
#"to find k use the given condition"#
#(1,6)toy=6" when "x=1#
#y=kxrArrk=y/x=6/1=6#
#"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=6x)color(white)(2/2)|)))#
#"this is a linear equation, that is it's graph is a straight line"#
#"to graph this choose values of x and substitute into the "#
#"equation for corresponding values of y"#
#((ulx,uly),(-1,-6),(0,0),(1,6))#
#"plot the points "(-1,-6),(0,0),(1,6)#
#"and draw a straight line through them"#
graph{6x [-11.1, 11.1, -5.54, 5.56]}