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.

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

source:

step-by-step explanation: