What is the equation, in slope-intercept form, of the line that is perpendicular to the line y – 4 = –2/3(x – 6) and passes through the point (−2, −2)?

The equation of required line is .

Step-by-step explanation:

If a line passes through a points with slope m, then the point slope form of the line is

The given equation of line is

It means the slope of this line is .

Product of slopes of two perpendicular lines is -1. So, the slope of perpendicular line is .

The slope of required line is and it passes through the point (-2,-2). So, the equation of line is

Subtract 2 from both sides.

Therefore, the equation of required line is .

step-by-step explanation:

the shape,the size and the distance

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