Write the equation of this line. a line that contains point (2, –2) and perpendicular to another line whose slope is –1.

Step-by-step explanation:

Step One

Find the perpendicular to the line with a given slope of - 1

m1 * m2 = - 1            Let the given line have a slope of - 1. Call it m1

-1 * m2 = - 1              Divide both sides by -1

-1/-1 * m2 = -1/-1

m2 = 1

Step Two

Write what you have so far

y = 1 * x + b

y = x + b

Step Two

Solve the general equation for (2,-2)

y = x + b

x = 2

y = -2

-2 = 2 + b      Subtract 2 from both sides

-2 - 2 = b       switch and add

b= - 4

Answer

y = x -4