The vertices of a quadrilateral abcd are a(-3, 4), b(-4, 1), c(-7, 2), and d(-7, 6). the vertices of another quadrilateral efcd are e(-10, 1), f(-11, 4), c(-7, 2), and d(-7, 6). which conclusion is true about the quadrilaterals?

their corresponding diagonals are equal.

the measures of their corresponding angles are not identical.

the lengths of their corresponding sides are unequal.

their shapes and sizes are not identical.

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