To solve this, we first have to find out what the slope of 3x + 4y = 14
To do this, we solve for y, and use the equation y = mx + b (m = slope)
3x + 4y = 14
4y = - 3x + 14
y = -3/4x + 14/4
So -3/4 is the slope of the line.
But! We need to use the perpendicular version of this slope, which is 4/3
So now we use 4/3 in y = mx + b to find b
-3 = 4/3 (2) + b
-3 = 8/3 + b
-8/3 - 9/3 = b
-17/3 = b
So our final equation is:
y = 4/3x - 17/3
