Write the equation of the line that passes through (–2, 1) and is perpendicular to the line 3x – 2y = 5.

y = -

Step-by-step explanation:

The line (l1) passes through (-2, 1) and is perpendicular to the line whose equation is;

3x - 2y = 5

Converting this equation to slope intercept form gives;

2y = 3x - 5

y = 1.5x - 2.5

Let the slope of the perpendicular line (l2) be m(PERP).

The product of slopes of two perpendicular lines is -1

The slope of our first line (l1) = 1.5

So 1.5 × m(PERP) = -1

m(PERP) = -1 ÷ 1.5 =

Taking another point (x,y) on line (l2);

Cross multiplying this gives;

y = -

which is the equation of our second line (l2).

yes the total will be same because in both of them the expression.is rearranged but their sign remains the same hence it hss just been shuffled

maybe i can