Question

PLZ HELP FAST ILL GIVE BRAINLIEST PLZ 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

Answer:

y = 1.8x

Step-by-step explanation:

Solution:-

- The equation of a line have the form called "slope-intercept" that relates the x-coordinate time ( minutes ) and y coordinate distance ( kilometers ).

- The y distance and x time can be expressed linearly with the help of the following equation:

                           y = mx + c

Where m and c are constants,

           m: The rate of change of distance y with respect to time x.

           c: The distance y at time x = 0.

- A pair of coordinates that lie on the line are given as follows:

                     ( 5 , 9 )         &          ( 0 , 0 )

- Compute the slope ( m ):

                    m = [ y2 - y1 ] / [ x2 - x1 ]

                    m = [ 9 - 0 ] / [ 5 - 0 ]

                    m = 9 / 5 = 1.8

- At time t, x = 0, the distance is y = 0 km. Hence, c = 0.

Answer: The equation would have the form:

                    y = 1.8 x

         

Answer 2

The equation of graph is $y=\frac{9}{5} x$

Graph is also attached below.

Equation of graph :

It is given that, graph of equation is passing through points  $(0,0)$ and $(5,9)$

The equation of graph is,

               $y-0=\frac{9-0}{5-0}x\\ \\y=\frac{9}{5}x$

So that, this is the equation of line which are passing through origin.

The graph of equation is also shown below.

Learn more about the graph of function here:

https://brainly.com/question/24335034