Answer:
The equation of the required straight line is y = 4x + 1.
Step-by-step explanation:
The equation of all the straight lines that are parallel to the straight line y = 4x - 3 is given by
y = 4x + c .............. (1)
where, c is any real constant and c ≠ - 3.
{Since parallel straight lines have the same slope and different y-intercept }
Now, we have to find the value of c such that the parallel straight line passes through the point (-1,-3).
Now, putting x = - 1 and y = - 3 in equation (1) we get,
- 3 = 4(- 1) + c
⇒ c = 1
Therefore, the equation of the required straight line is y = 4x + 1. (Answer)
