The Line on the graph passes through the points A (1,3) and B (7,1)
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Step-by-step explanation:

a) The gradient of AB

The gradient is the ratio of the change in y values to the change of the x values (that is, (1-3)/(7-1))

therefore the gradient =-2/6

b) The gradient of the line perpendicular to AB

It's the negative reciprocal of the gradient of AB (That's gradient (perp.)=-1/gradient (AB))

=-1/(-2/6)

gradient=3

c) Equation of the perpendicular line through (4,2)

The formula for finding an equation of a line is

y-the y coordinate of a point in a line = gradient ( x-the x coordinate of a point in a line)

y-2=3(x-4)

y-3x+4-2=0

y-3x+2=0 is the line

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