Question

Given: Quadrilateral PQRS is a rectangle.

Prove: PR=QS

Reason

1 Quadrilateral PQRS is a rectangle. (Given)
2 Rectangle PQRS is a parallelogram. (Definition of a rectangle)
3 QP≅RS and QR≅PS (Definition of a rectangle) 4 ∠QPS=∠RSP=90° (Definition of a rectangle)
5 △PQS≅△SRP (SAS criterion for congruence)
6 PR≅QS (Corresponding sides of congruent triangles are congruent)
7 PR=QS (Congruent line segments have equal measures)
What is the reason for the third step in this proof?

A) Corresponding sides of congruent triangles are equal in length.
B) The diagonals of a rectangle bisect each other.
C) SSS criterion for congruence
D) Opposite sides of a parallelogram are congruent.

Answer 1

The y-intercept of the equation y = 5x + 2 is the constant term 2, which is where the line crosses the y-axis when x is 0, making the correct answer option (a) 2.

Step-by-step explanation:

The equation of the line given is y = 5x + 2. According to the equation format y = mx + b, the y-intercept is represented by 'b', which is the constant term in the equation. Therefore, the y-intercept for this line is 2, corresponding to the point on the y-axis where the line will cross when x equals 0. So, the correct answer to the question 'If the equation of the line is y = 5x + 2, what is the y-intercept?' is option (a) 2.