Question

Consider the line y = 7x-5.

What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?

Answer 1

I'll help

Explanation:

Parallel lines have the same slope so it will be 7.

And perpendicular lines if you multiply them together they have to add up to -1,

So 7 you change it to its opposite which is 1 over 7 and yeah just

Answer 2

`\boxed {\sf Parallel: 7 }`

`\boxed {\sf Perpendicular: -(1)/(7)}}`

Explanation:

First, identify the slope.

We are given the line y=7x-5.

This is in slope intercept form or y=mx+b where m is the slope and b is the y-intercept. So, the coefficient to x, or 7 in this case, is the slope.

• m=5

Now, find the parallel and perpendicular slopes.

1. Parallel Slope

Parallel lines never intersect, so they have the same slope. A parallel line has a slope of 7.

2. Perpendicular Slope

Perpendicular slopes intersect to form right angles. They have negative reciprocal slopes.

• Negate the slope: 7⇒ -7
• Find the Reciprocal (flip the numerator and denominator: -7/1 ⇒ -1/7

A parallel line has a slope of 7 and a perpendicular line has a slope of -1/7.