Which of these is a point slope equation of the line that is perpendicular to y-8=3(x-10) and passes through (-2,7)?

The point slope form is:  

Step-by-step explanation:

Recall the general point-slope form of a line of slope "m" and going through a point , is given by:  

Notice therefore, that the given line is expressed in "point-slope" form

where the slope is given by the value: "3".

Recall that the slope of a line perpendicular to another given line of known slope "m" is the "opposite of the reciprocal" of that "m". That is:

Then for our case, the line perpendicular to the one given, must have slope given by:

So now we can create easily the point-slope form of the requested perpendicular line that goes through the point (-2,7) using the general point-slope form mentioned above:

the correct answer is 5 6 and 7

answer 1 : option "c"

answer 2 : option "d"

answer 3 : option "b"

answer 4 : option "d"

answer 5 : option "b"

answer 6 : option "a"

answer 7 : option "c"

answer 8 : option "d"

answer 9 : option "c"

answer 10 : option "d"

answer 11 : option "c"

answer 12 option "b"

answer 13 option "c"

answer 14 option "c"

answer 15 option "d"

answer 16 option "a"

answer 17 option "b"

answer 18 option "c"

answer 19 option "a"

answer 20 option "a"

answer 21 option "c"

d