Geometry Class Work

Question

Write the point slope form of the equation of the line through (1,-5) and perpendicular to y = x + 1

Answer 1

y=x+1 has slope = 1

a perpendicular line has slope which is the negative inverse of 1, which is -1

(y- -5)/(x-1) = -1

or

(y+5)/(x-1) = -1 is the perpendicular line through the point (1,-5)

which is also

(y+5) = -(x-1)

y-y1 = m(x-x1) where m=slope and the point the line goes through is (x1,y1)

which is the same as y= -x -4 in slope intercept form