Answer:
y = -1/2x + 7
Step-by-step explanation:
If two lines are perpendicular to each other, they have opposite slopes.
The first line is y = 2x - 6. 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 (4, 5). Plug in the x and y values into the x and y of the standard equation.
5 = -1/2(4) + b
To find b, multiply the slope and the input of x (4)
5 = -2 + b
Now, add 2 to both sides to isolate b.
7 = b
Plug this into your standard equation.
y = -1/2x + 7
This equation is perpendicular to your given equation (y = 2x - 6) and contains point (4, 5).
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Answer: y = -1/2x + 7
Step-by-step explanation:
If two lines are perpendicular to each other, they have opposite slopes.
The first line is y = 2x - 6. 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 (4, 5). Plug in the x and y values into the x and y of the standard equation.
5 = -1/2(4) + b
To find b, multiply the slope and the input of x (4)
5 = -2 + b
Now, add 2 to both sides to isolate b.
7 = b
Plug this into your standard equation.
y = -1/2x + 7
This equation is perpendicular to your given equation (y = 2x - 6) and contains point (4, 5).