The equation that passes through (3,6) and is perpendicular to 3x - 4y = - 2 a
y = - 4/3x + 3 1/3
b
y = - 3/4x + 10
c
y = - 4/3x + 10
d
y = 3/4x + 10

C

Step-by-step explanation:

We want the equation of the line that passes through (3, 6) and is perpendicular to:

First, convert the second equation into slope-intercept form:

So, we can see that the slope of the line is 3/4.

The slopes of perpendicular lines are negative reciprocals of each other.

Therefore, the slope of the new line is -4/3.

It passes through the point (3, 6).

We can use the point-slope form:

Substitute:

Distribute:

Therefore:

The answer is C.