Which is the equation of a line perpendicular to the line with the equation 3x+4y=7

Any line with the slope of 4/3 would be perpendicular.

Step-by-step explanation:

To find this, first solve the equation for y.

3x + 4y = 7

4y = -3x + 7

y = -3/4x + 7/4

Perpendicular lines always have opposite and reciprocal slopes. Therefore, we flip the slope in the original equation (-3/4 becomes -4/3) and then we change the sign (-4/3 becomes 4/3)