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

y = 2/3x - 1

Step-by-step explanation:

Find the slope:

2y = 3x - 5

2/2y = 3/2x - 5/2

y = 3/2x - 5/2

Slope is 3/2

In order for a line to be perpendicular the slope in the equation should be flipped. 3/2 becomes 2/3.

Perpendicular equation:

y = 2/3x + b

b is going to be equal to the y intercept of the point they gave us, so -1.

y = 2/3x - 1

step-by-step explanation:

2 over 5

step-by-step explanation:

the 2: 3 ratio is the length of the ac segment to the cb segment total length. this implies that the ratio between segment ac length and segment ab length is 2: 5. point c is 2/5 from a to b, so the required fraction is 2/5.