Msm555 can you please help?!

Solution given:

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c

answer: yes, since the line has a steeper rate of change than the exponential the y-values will be greater and they will only intersect one time.