Answer:
D. [tex]y = 2x[/tex]
Step-by-step explanation:
A proportional relationship is represented by the formula [tex]y = mx + b[/tex].
m = the slope, which is [tex]\frac{y_{2}-y_{1} }{x_{2} - x_{1}}[/tex].
b = the y-intercept, the point where the line crosses the y-axis. We actually don't have to worry about the [tex]+ b[/tex] part of the formula because [tex]b = 0[/tex], so it can be left out.
To find the slope, use [tex]\frac{y_{2}-y_{1} }{x_{2} - x_{1}}[/tex]. Subtract the smaller y value (2) from the larger y value (6).
(6 - 2 = 4)
Then subtract the smaller x value (1) from the larger x value (3).
(3 - 1 = 2)
So it looks something like this now:
[tex]\frac{6-2}{3-1}[/tex] , which equals [tex]\frac{4}{2}[/tex]
Then you divide the top part of the fraction (4) by the bottom part. (2).
[tex]\frac{4}{2}[/tex] = 2. The slope (m) is 2.
So the final equation is [tex]y=2x[/tex].
