Write an equation that gives the proportional relationship of the graph. A) y = 1 8 x B) y = 8x C) y = 9x D) y = 72x
Accepted Solution
A:
For this case we must find a function of the form: [tex]y = mx + b
[/tex] Where, m: slope of the line b: cutting point with the y axis. We note that the cutoff point with the y axis occurs at 0. Therefore we have: [tex] b = 0
[/tex] On the other hand, the slope of the line is given by: [tex]m = \frac{y2-y1}{x2-x1} [/tex] Substituting values we have: [tex]m = \frac{72-0}{9-0} [/tex] Rewriting: [tex]m = \frac{72}{9} [/tex] [tex]m = 8 [/tex] Then, replacing values the equation of the line is: [tex]y=8x[/tex] Answer: [tex]y=8x[/tex] B) y = 8x