5. Write the slope-intercept form of the equation that passes through the point (-1, 2) and is perpendicular to the line y = 3/2x + 6 O y = 3/2x + 5/2
O y = 3/2x + 4/3
O y = -2/3x + 5/2
O y = -2/3x + 4/3

D.  y = -2/3 x + 4/3

Step-by-step explanation:

When you have a perpendicular line, everything except the y-intercept becomes opposite. So 3/2x + 6 will become -2/3x.

To find the slope, you have to plug the coordinates into the equation so far which is y = -2/3x + b

y = -2/3x + b

2 = -2/3(-1) + b

2 = 2/3 + b

4/3 = b

So the equation is y = -2/3 x + 4/3.

this shows a reflection over the x-axis and is translated one unit down and 6 units to the right (x + 6, y - 1)

hope this !

~just a girl in love with shawn mendes