Answer:
D
Explanation:
3x + y = 10
we transform this to the standard form
y = -3x + 10
the slope is therefore -3 or -3/1.
the perpendicular slope is its turning the original slope upside-down and flipping the sign.
so,
it is 1/3.
that eliminates A and C.
so, is B or D correct ?
we find out by simply putting the point coordinates in as x and y values, and then see, if the equation is true.
B
-5 = 1/3 × 6 + 3
-5 = 2 + 3 = + 5
that is wrong. -5 is not equal to +5.
D
-5 = 1/3 × 6 - 7
-5 = 2 - 7 = -5
correct ! D is the right answer.