Answer:
y = -x - 4
Step-by-step explanation:
Determine the slope of y -4 = (x - 6).
To do this, compare:
y -4 = (x - 6)
y - k = m(x - h), where m represents the slope of the line.
Here the slope of the given line is 1.
We want the equation of a line perpendicular to the given line, whose slope is 1. The slope of the perpendicular line is then -1/1, or -1 (think: "negative reciprocal").
Now we're ready to write the desired equation in slope-intercept form y = mx + b:
Since this new line passes through (-2, -2), the following is true:
-2 = (-1)(-2) + b. Thus, b = -4, and the desired equation is then
y = -x - 4
