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Is y 4x 9 a direct variation?
no. It must be an equation of the form y = kx.
How do you find constant of proportionality using equation?
If the equation is y = kx then the constant of proportionality is k.
What are the values of k when kx plus y equals 4 is tangent to the curve y equals x squared plus 8 showing work?
If: kx+y = 4 and y = x^2+8 Then: x^2+8 = 4-kx => x^2+4+kx = 0 For the line to be tangent to the curve the discriminant of b^2-4(ac) must = 0 So: k^2-4(1*4) = 0 => k^2 -16 = 0 => k^2 = 16 => k = +/- 4 Therefore: y+4x = 4 and y-4x = 4 are tangents to the curve y = x^2+8
Why does the graph of an equation expressing direct variation always pass through the origin?
For a direct variation, y=kx where k is the constant of variation if x =0 then y=0 and the graph of y=kx passes through the origin. -Indiana Prentice Hall Algebra 2 Text Book.
What do you know about direct proportion and inverse proportion?
direct proportion: y=kx inverse proportion: y=k/x
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