Question

What is the slope of a line perpendicular to y = 2x + 3

Answer 1

Answer:

$\boxed {\tt m= -\frac{1}{2}}$

Step-by-step explanation:

Perpendicular slopes are negative reciprocals.

First, let's find the slope of the line. The equation is:

y=2x+3

This line is in slope-intercept form: y=mx+b. m is the slope and b is the y-intercept. Therefore, 2 is the slope.

Now, find the perpendicular slope.

1. Negate the slope

The slope is 2. Negate the slope, or switch the sign. It becomes -2.

2. Find the reciprocal

To find the reciprocal, switch the numerator and denominator.

The slope -2 is equal to -2/1. Switch the top number and bottom number and the result is -1/2.

The perpendicular slope is -1/2

Answer 2

Answer:

-1/2

Step-by-step explanation:

The slope of a perpendicular line is opposite reciprocal. So the opposite of 2 is -2, and the reciprocal of 2 is 1/2.