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Which best describes the equation that the graph represents?

On a coordinate plane, the x-axis is labeled time (in minutes) and the y-axis is labeled distance (in kilometers). The point (5, 9) is plotted on a line that goes through (0, 0).

Answer :

thaovtp1407

Answer:

y= [tex]\frac{9}{5}[/tex]x

Step-by-step explanation:

Given the two points:

  • Origin (x1, y1) = (0, 0)
  • The point (x2, y2) = (5, 9)

Because the x-axis is labeled time (in minutes) and the y-axis is labeled distance (in kilometers).

=>Time, x the independent variable,and distance is the dependent variable.

We have the standard form of a linear equation is:

y= mx + b where a is the slope

We know that, the slope of the function is:

m = [tex]\frac{y2-y1}{x2-x1}[/tex]

In this situatuon, m = [tex]\frac{9-0}{5-0} = \frac{9}{5}[/tex]

=> y= [tex]\frac{9}{5}[/tex]x + b(1)

The line that goes through (0, 0) so we substitute (0, 0) into (1), we have:

0 = [tex]\frac{9}{5}[/tex]*0 + b

<=> b = 0

So our equation that the graph represents is: y= [tex]\frac{9}{5}[/tex]x

Answer:

b

Step-by-step explanation:

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