Question

What is the constant of proportionality in the equation y=2.5xy=2.5xy, equals, 2, point, 5, x?

Answer 1

Answer:

The constant of proportionality in the given equation is, 2.5

Step-by-step explanation:

The direct proportionality states that:

$y \propto x$ then the equation is in the form of:

$y=kx$ .........[1] ; where, k is the constant of proportionality

Given the equation:

$y=2.5x$

On comparing equation [1] we have;

$k = 2.5$

Therefore, the constant of proportionality in the given equation is, 2.5

Answer 2

The equation is a linear equation 


 Start with the given equation 



 Rewrite  as  




Looking at  we can see that the equation is in slope-intercept form where the slope is  and the y-intercept is  note:  really looks like  


Since  this tells us that the y-intercept is .Remember the y-intercept is the point where the graph intersects with the y-axis 

So we have one point  

 



Now since the slope is comprised of the "rise" over the "run" this means 
 

Also, because the slope is , this means: 

 


which shows us that the rise is 5 and the run is 2. This means that to go from point to point, we can go up 5 and over 2 



So starting at , go up 5 units 
 

and to the right 2 units to get to the next point  
 


Now draw a line through these points to graph  

 So this is the graph of  through the points