Find the equation of the line perpendicular to y= -2+3/5x passing through the points (3, -4)

y = -1 + 1

Step-by-step explanation:

The line (a) passing through point (3, -4) is perpendicular to line (b) whose equation is; y = -2 + x

The slope of line (b) =

For perpendicular lines, the product of their slopes = -1

So line (a) has a slope of: -1 ÷ = -

Taking another point (x,y) on line (a);

Slope = change in y ÷ change in x

= -

y + 4 = (x - 3)

y = -x + 5 - 4

y = -x + 1

Finally,

y = -1 + 1