# Write an equation for the line parallel to the given line y = 4x + 5 that contains c = 7?

A parallel line has a unique property of the same slope and not the same intercept value.

## Answer: y = 4x + 7, is an equation for the line parallel to the given line y = 4x + 5 that contains c = 7.

Let us go through the explanation to understand better.

**Explanation:**

Using the General equation of the line, i.e.

y = mx + c

Since the line y = 4x + 5 is parallel to the required line. Therefore their slopes must be equal.

Thus, m = 4

Given, c = 7

Applying the value of m and c in the general equation of the line, we get:

⇒ y = 4x + 7