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

Any line where m = 4/3 in y=mx + b such as y = 4/3x

Step-by-step explanation:

Perpendicular lines are lines which slopes are negative reciprocals. The slope of the line 3x + 4y = 7 is found by converting it to y = mx + b. It becomes y = - 3/4x + 7/4. The slope is m = - 3/4. A line perpendicular to this line will have a slope of m = 4/3 such as the line y = 4/3x.