Question

Which best describes the equation that the graph represents?

Answer 1

Answer:

y= $\frac{9}{5}$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 = $\frac{y2-y1}{x2-x1}$

In this situatuon, m = $\frac{9-0}{5-0} = \frac{9}{5}$

=> y= $\frac{9}{5}$x + b(1)

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

0 = $\frac{9}{5}$*0 + b

<=> b = 0

So our equation that the graph represents is: y= $\frac{9}{5}$x

Answer 2

Answer:

y= \frac{9}{5}x

Step-by-step explanation: