Co-Authored By:

##### Asked by: Egidia Theewen

science space and astronomy# How do you find the Y intercept of a parallel line?

Last Updated: 20th March, 2020

**parallel lines**, the slopes must be equal, so the

**slope**of the new

**line**must also be . We can plug the new

**slope**and the given point into the

**slope**-

**intercept**form to solve for the

**y**-

**intercept**of the new

**line**. Use the

**y**-

**intercept**in the

**slope**-

**intercept**equation to find the final answer.

Click to see full answer.

Hereof, do parallel lines have the same Y intercept?

In other words, the slopes of **parallel lines** are equal. Note that two **lines** are **parallel** if their slopes are equal and they **have** different **y**-**intercepts**. In other words, perpendicular slopes are negative reciprocals of each other. Here is a quick review of the slope/**intercept** form of a **line**.

Likewise, what is the equation of a line parallel to Y axis? Thus, if P(x, y) is any point on AB, then x = a. Hence, the equation of a straight line parallel to y-axis at a **distance** a from it is x = a. The equation of y-axis is x = 0, since, y-axis is a parallel to itself at a **distance** 0 from it.

Also to know, how do you find the Y intercept of a perpendicular line?

First, put the equation of the **line** given into **slope**-**intercept** form by solving for **y**. You get **y** = 2x +5, so the **slope** is –2. **Perpendicular lines** have opposite-reciprocal slopes, so the **slope** of the **line** we want to **find** is 1/2. Plugging in the point given into the equation **y** = 1/2x + b and solving for b, we get b = 6.

Are these lines perpendicular?

Explanation: Two **lines** are **perpendicular** if and only if their slopes are negative reciprocals. To find **the** slope, we must put **the** equation into slope-intercept form, , where equals **the** slope of **the line**. Therefore, any **line perpendicular** to must have a slope of .