Question

How do you draw the graph of direct variation that includes the point (1,6) and write the equation of the line?

Answer 1

`"see explanation"`

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]}