Answer:
Yes, 4 and y = 4x
Step-by-step explanation:
By looking at the graphic you see it's a straight line, not a hyperbolic curve, not a logarithm curve either, not a curve at all in fact. And the line is neither totally horizontal nor totally vertical... so there's a direct relation, a direct positive relation, since the greater the x-value, the greater the y-value.
Then we have to find the constant of variation, or the slope of the line.
We'll take two points on the line (1,4) and (0,0) and examine their variance of Y over their variance of X... that will give us the constant of variation:
[tex]slope = \frac{4-0}{1-0} = 4[/tex]
So the constant of variation is 4.
Now that we have the slope, its easy to find the full equation:
y = mx + b where m is the slope (we have it) and b is the value for y when x = 0.
By looking at he graph, we see that when x = 0, y = 0 as well.
So, the equation is: y = 4x
