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##### Asked by: Trudy Dannecker

science space and astronomy# How do you find the perpendicular equation?

**equation**of the line given intoslope-intercept form by solving for y. You get y = 2x +5, so theslope is –2.

**Perpendicular**lines haveopposite-reciprocal slopes, so the slope of the line we want tofind is 1/2. Plugging in the point given into the

**equation**y= 1/2x + b and solving for b, we get b = 6.

Similarly, it is asked, how do you find a perpendicular slope?

To **find** the **slope** of the given line weneed to get the line into **slope**-intercept form (y = mx + b),which means we need to solve for y: The **slope** of the line 4x– 5y = –10 is m = 4/5. Therefore, the **slope** ofthe line **perpendicular** to this line would have to be m =–5/4. Step 2: Use the **slope** to **find** they-intercept.

**Perpendicular**- Definition with

**Examples**Two distinct lines intersecting each other at 90°or a right angle are called

**perpendicular**lines.

**Example**: Here, AB is

**perpendicular**to XY because ABand XY intersect each other at 90°. Non-

**Example**: The twolines are intersecting each other at an acuteangle.

Simply so, how do you find the equation of the perpendicular bisector?

Write an **equation** into point-slope form, y - k =m(x - h), since the slope of the **perpendicular bisector** anda point (h, k) the **bisector** goes through is known. Solve thepoint-slope **equation** for y to get y = mx + b. Move the kvalue to the right side of the **equation**.

**If** the slopes are the same and the y-interceptsare different, the **lines are parallel**. **If** the slopesare different, the **lines** are not **parallel**. Unlike**parallel lines**, **perpendicular lines** do intersect.Their intersection forms a right, or 90-degree, angle.