Without an equality sign and not knowing the plus or minus values of y and 7 it can't be considered to be a straight line equation therefore finding its perpendicular equation is impossible.
Perpendicular slope: -1/4 Perpendicular equation: y-0 = -1/4(x-3) => y = -0.25x+3
If you mean 7 = 7x-3 then the perpendicular slope is -1/7 and the equation is y = -1/7x
2-3
Yes, I could, if I knew the slope of the line given.
Perpendicular slope: 1/2 Perpnedicular equation: y-5 = 1/2(x-2) => y = 0.5x+4
Perpendicular slope: -1/4 Perpendicular equation: y-0 = -1/4(x-3) => y = -0.25x+3
If you mean 7 = 7x-3 then the perpendicular slope is -1/7 and the equation is y = -1/7x
General formula
That would depend on its slope which has not been given.
2-3
That depends on the equation that it is perpendicular too which has not been given but both equations will meet each other at right angles.
Yes, I could, if I knew the slope of the line given.
Perpendicular slope: 1/2 Perpnedicular equation: y-5 = 1/2(x-2) => y = 0.5x+4
As for example the perpendicular equation to line y = 2x+6 could be y = -1/2x+6 because the negative reciprocal of 2x is -1/2x
Slope of line: 3 Perpendicular slope: -1/3 Equation: y-2 = -1/3(x-0) => y = -1/3x+2
A line that is perpendicular to the segment of a plane and passes through the midpoint.
The line "x = 6" will be perpendicular to any line "y = C", where C is any constant. That means that the line which is perpendicular to "x=6" and passes through [-4, 5] will be "y = 5"