Answer:
[tex]\boxed {\tt m= -\frac{1}{2}}[/tex]
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
