Answer:
y = -1/2x - 9/2
Step-by-step explanation:
If two lines are perpendicular to each other, they have opposite slopes.
The first line is y = 2x - 3. Its slope is 2. A line perpendicular to this one will have a slope of -1/2.
Plug this value (-1/2) into your standard point-slope equation of y = mx + b.
y = -1/2x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (-3, -3). Plug in the x and y values into the x and y of the standard equation.
-3 = -1/2(-3) + b
To find b, multiply the slope and the input of x (-3)
-3 = 3/2 + b
Now, subtract 3/2 from both sides to isolate b.
-3 - 3/2 = b
-6/2 - 3/2 = b
-9/2 = b
Plug this into your standard equation.
y = -1/2x - 9/2
This equation is perpendicular to your given equation (y = 2x - 3) and contains point (-3, -3)
Hope this helps!
