Answer:
y = 3/4x - 1
Explanation:
4x + 3y = 7
3y = -4x + 7
y = -4/3x + 7/3
The slope of the given line is -4/3 so the slope of a line perpendicular to it is 3/4 (negative reciprocal).
y = 3/4x + b
Substitute x = 4 and y = 2:
2 = 3/4(4) + b
2 = 3 + b
b = -1
Thus the final equation is y = 3/4x - 1