Parallelogram abcd is reflected over the y-axis, followed by a reflection over the x-axis, and then rotated 180 degrees about the origin. what is the location of point a after the transformations are complete? parallelogram abcd is shown. a is at negative 5, 1. b is at negative 4, 3. c is at negative 1, 3. d is at negative 2, 1. (−5, −1) (5, 1) (−5, 1) (5, −1)

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

where are the graphs?

step-by-step explanation: