What is the equation of the line, in standard form, that passes through (4, -3) and is parallel to the line whose equation is 4x + y - 2 = 0? 4 x + y = 13
4 x + y = -13
4 x - y = 13

Given:

The equation of parallel line is

The required line passes through the point (4,-3).

To find:

The equation of required line is standard form.

Solution:

The standard form of a line is

Where, A,B,C are constants and the slope of the line is .

The given equation is

Here, . So, the slope of the line is

Slopes of parallel lines are equal. So, the slope of the required line is -4

The required line passes trough the point (4,-3) with slope -4. So, the equation of the required line is

Isolate variable terms.

Therefore, the correct option is A.

x=0

step-by-step explanation: