What is the measure of m?
n
28
m
7
m = [ ? ]V

Step-by-step explanation:

So we want to find the equation of a line perpendicular to y=2x+5 and passes through the point (-6,5).

First, let's determine the slope of our equation. Remember that the slopes of perpendicular lines are negative reciprocals. In other words:

To find our slope, let's substitute 2 (the slope of y=2x+5) for m₁ and solve for m₂. So:

Divide both sides by 2:

Therefore, the slope of our new line is -1/2.

Now, we can use the point-slope form to find the equation of our line. The point-slope form is:  

Where m is the slope and (x₁, y₂) is a point.

So, let's substitute -1/2 for m and (-6,5) for (x₁, y₂), respectively. So:

Simplify:

Distribute:

Add 5 to both sides:

So, our equation is: