Indicate the equation of the given line in standard form. the line through point (-3, 4) and perpendicular to a line that has slope 2/5

To be perpendicular the product of the two slopes must equal -1.

2m/5=-1

2m=-5

m=-2.5

since y=mx+b we have so far

y=-2.5x+b, using point (-3,4) we can solve for b

4=-2.5(-3)+b

4=7.5+b

b=-3.5 so

y=-2.5x-3.5  We can multiply the whole equation by two so that the coefficients are integers...

2y=-5x-7  add 5x to both sides

5x-2y=-7