The key to this graph is seeing that the equation
for the slope of this line is very similar to
Where we need to multiply the entire equation by the charge of an electron to make sure we have an energy unit obtained on the left (in this case electron volts)
Because , and m is the ratio
First, we multiply m by e, and remember that my Hz values include an extra .
by first multiplying the slope by the electron, we obtain for planks constant. But then, with the in the denominator of the slope, we get
The Work function can simply be found as the y-intercept of the graph. Meaning, electrons are being knocked off the metal, but not getting any kinetic energy. It is therefore 1.356 eV