What is the equation of the line that is parallel to y = –4x + 3 and has a y-intercept of -1/3

The equation of the line that is parallel to given line is 12x + 3y = -1

Solution:

Given that, the line that is parallel to y = –4x + 3 and has a y-intercept of -1/3

Given equation of line is:

y = -4x + 3

Let us first find the slope of line

The equation of line in slope intercept form is given as:

y = mx + c ------- eqn 1

Where, "m" is the slope and "c" is the y intercept

On comparing the above slope intercept form with given equation of line, we get m = -4

Thus the slope of line with equation y = -4x + 3 is -4

We have to find the slope of line that is parallel to above line

We know that slopes of parallel lines are equal

Therefore, slope of line passing parallel to given line is -4

Now find the equation of line

Thus the equation of line is found

54 km / hours

step-by-step explanation:

we need to convert seconds to hours

60 seconds = 1 minutes

60 minutes = 1hour

15 m         60 second   60 minutes

  * *         = 54000 meters/ hour

second     1 minute             1 hour

now we need to convert meters to km

1000 m = 1 km

54000 m       1 km

*   = 54 km / hours

hour               1000m

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