Please can someone just answer question 7C

Answer:
y=-2/3*x-1
Step-by-step explanation:
3x-2y+5=0
Solving for y
-2y=-3x-5
y=3/2*x+5/2
-2/3 is perpendicular to 3/2, so the slope must be -2/3
y=-2/3*x+b
Substituting x=0 and y=-1,
-1=b
Therefore, the equation of the line is y=-2/3*x-1
Answer:
y = -2/3x - 1
Step-by-step explanation:
Step 1: The first thing that we need to do is to find the slope of a given line
The explicit equation of a given line is: y = 3/2x + 5/2
So the slope is m = 3/2:
Step 2: The perpendicular slope (m1) is negative reciprocal of the slope m.
m1 = -2/3
So the perpendicular line will have a slope of m1 = -2/3
Step 3: Now we have a point and the slope so we can use point-slope form, which is: y - y0 = m1(x - x0)
In this example we have: m1 = -2/3, x0 = 0 and y0 = -1. After substitution we have:
y - y0 = m1(x - x0)
y - (-1) = -2/3(x - 0)
y + 1 = -2/3x + 0
y = -2/3x + 0 - 1
y = -2/3x - 1