8.
which of the following is the equation of a line that passes through the point (4, - 7)
and is perpendicular to y = - x + 3?

y=x-11

Step-by-step explanation:

a line is perpendicular when the slope is a negative reciprocal

the negative reciprocal of -1 is 1

that means that out equation should look something like this

y=x+b

then we use the given point to find b

-7=4+b

b=-11

our final equation is y=x-11

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction

linear pair postulates