Respuesta :
Answer:
The answer to your question is y = 3/2x + 5/2
Step-by-step explanation:
Data
P (-1, 1)
⊥ -2x - 3y - 5 = 0
Process
1.- Find the slope of the original line
-2x - 3y - 5 = 0
-3y = 2x + 5
y = -2/3x - 5/3
Slope = -2/3
2.- Find the slope of the new line
Slope = 3/2
3.- Find the equation of the line
y - y1 = m(x - x1)
-Substitution
y - 1 = 3/2(x + 1)
-Simplification
y - 1 = 3/2x + 3/2
y = 3/2x + 3/2 + 1
-Result
y = 3/2x + 5/2
Answer:
y = [tex]\frac{3}{2}[/tex]x + [tex]\frac{5}{2}[/tex]
Step-by-step explanation:
1. Put the given equation in Y = mx + b form
-2x-3y-5=0
-2x-5=3y
-2/3x - 5/3=y
2. Since We know that the slope of the given line is perpendicular, therefore the slope of the new line is the negative recipricol
m = 3/2 (slope of new line)
3. Find your b value by subbing in the points (-1,1)
y=mx + b
1= 3/2 (-1) + b
1= -3/2 +b
1+ 3/2 = b
5/2= b
4. write your equation
y = 3/2 x + 5/2