Please help!! Polygon ABCDE is the first in a pattern for a high school project. The polygon is transformed so that the image of A’ is at (-2,4) and the image of D’ is at (-1,2). Which transformation can be used to show that ABCDE and its image are congruent? A. Rotate ABCDE 90 degrees counterclockwise
B. Translate ABCDE left 4 units and down 2 units
C. Reflect ABCDE over the y-axis
D. Rotate ABCDE 90 degrees clockwise

step-by-step explanation:

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step-by-step explanation:

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