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What is the math definition of Direct Variation?
if one increases.., .....so does the other....
Is 5x plus 3 equals 8y plus 3 a direct variation?
Oh, dude, direct variation is when two variables change in the same way. In this case, 5x + 3 = 8y + 3, so technically they are changing in the same way by adding 3 to both sides. So, yeah, I guess you could say it's a direct variation, but like, who really cares, right?
What is 7 units below the origin on a vertical number line?
t's at the point (0,-7) So from the origin you just go down 7
Find the variation constant and an equation of variation where y varies directly as x and y equals 10 when x equals 37?
y = kx: 10 = 37k so k = 10/37 and y = 10x/37
What is the constant of proportionality of the linear function?
The linear function has the form y=mx+b, which I expect you have heard of. The 'b' is the y-intercept, and the 'm' is the slope. A constant of proportionality is something you have with direct variation, which is where the line goes through (0,0). This happens when 'b' equals zero. So now the equation is just y=mx, and the constant of proportionality is 'm'.
