Question

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 1

b

Explanation:

Answer 2

y=
`(9)/(5)`x

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 =
`(y2-y1)/(x2-x1)`

In this situatuon, m =
`(9-0)/(5-0) = (9)/(5)`

=> y=
`(9)/(5)`x + b(1)

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

0 =
`(9)/(5)`*0 + b

<=> b = 0

So our equation that the graph represents is: y=
`(9)/(5)`x