Question

What is the equation, in slope-intercept form, of the line that is perpendicular to the line

Answer 1

Answer:

y = x - 1 (third answer choice)

Step-by-step explanation:

From the given we see immediately that the slope of this line is -1.  The slope of a line perpendicular to this one is +1, which is the negative reciprocal of -1.  The slope-intercept form is y = mx + b.  To find b, the y-intercept, we make the following substitutions:  m = -1, y = -2, x = -2:

-2 = +1(-2) + b, or +1 = 2 + b, or b = -1

and so the desired equation is y = x - 1 (third answer choice)