An equation of a line through (2, 4) which is perpendicular to the line y = -2x + 1 has slope:
and y-intercept at:

slope: 1/2. y-int: 3

Step-by-step explanation:

for slope: the slope for a perpendicular line is the negative reciprocal. so -2 flipped is -1/2 and adding on a negative will cancel the original one so 1/2.

for y int: use the new slope and the point given to figure it out.

4 = 1/2(2) + b --> 4 = 1 +b --> b = 3

europa2433

europa2433

step-by-step explanation:

you didn't post any answer choices, so its not 100% clear what your teacher is looking for

however, log(15/7) is equivalent to log(15) - log(7)

i'm using the rule log(x/y) = log(x) - log(y)