What is the equation of the line shown in this graph

y=-2x+4

Step-by-step explanation:

The equation of the line is:

y=mx+b

m= slope= (y2-y1)/(x2-x1)

we have two points giver from the graph:

point 1: (1,2)

point 2: (4,-4)

we to find the slope:

m=(-4-2)/(4-1)

m=-6/3

m=-2

we need to find "b"

using the point (1,2)

we have:

2=-2*(1)+b  

2=-2+b

so we have b=2+2=4

finally we have that the answer is:  

y=-2x+4

step-by-step explanation:

we can use this expression to calculate the energy gain as a particle moves with a field or the energy loss as it moves against it. (note that it is also used to define the electron-volt, a unit of energy equal to that gained by an electron as it falls through a pd of 1 v, i.e. w = 1 ev = 1.6 10-19 c 1 v = 1.6 10-19j).in fact this expression is really nothing more than the statement that potential is the potential energy per unit charge. in this case, v= w/qis simply stating that the change in potential energy(or work done) per unit charge is equal to the change in potential (or potential difference), v.student questions: uniform electric fields2electron beamcathode+5 kvanode0 v