Chapter 8.5, Problem 2E

To determine

To tell:

Without graphing, whether the lines with givenequations are parallel , perpendicular , or neither . Explain.

Answer to Problem 2E

The lines with given equations are parallel to each other.

Explanation of Solution

Given:

Two equations: $y=7x-1\text{ and }y=7x+3$ is written in $\underset{\_}{?}$ form.

Calculation:

We know thatslopes of two perpendicular lines are negative reciprocal of each other that is product of slopes of two perpendicular lines is equal to $-1$ .

We also know that slopes of two parallel lines is equal.

Upon looking at our given equations, we can see that slopes of both lines are equal that is 7. Since slopes of both lines are equal, therefore, both lines are parallel.