Which of the following is a characteristic of all parallelograms? a. consecutive angles are congruent. b. there are 4 right angles. c. the diagonals are perpendicular. d. both pairs of opposite sides are congruent.

Let us check each statement one by one:

A.Consecutive angles are congruent.

In a parallelogram consecutive angles are supplementary.

So this statement is incorrect.

B. There are 4 right angles.

Not all angles are right angles in all parallelograms.

So this statement is incorrect.

C. The diagonals are perpendicular.

Not every parallelogram has perpendicular diagonals.

This statement is incorrect.

D. Both pairs of opposite sides are congruent.

This statement is correct for all parallelograms.

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is