To define a line, we need a slope and a point it passes through. We can figure out the slope from the equation given, by changing it into y = mx + b form:
-x + 2y = 4
2y = 4 + x
y = (1/2)x + 2
The slope of this line will be (1/2). The slope of a perpendicular line is the negative reciprocal of the original slope, so in this case, -2. Other than that, I can't give you any other information. The line will take the form:
You can find the also find the slope by taking the negative of the x-coefficient divided by the y-coefficient. That's -1/-2, or 1/2
To find the slope of the perpendicular line, you can remember 'take the negative reciprocal'. This would be -2/1, or -2.
Another way to find the slope of the perpendicular line is to remember that if you multiply the slopes of perpendicular lines, the answer is always -1. So, in this example,
Answers & Comments
Verified answer
–x + 2y = 4
2y = x + 4
y = x/2 + 2
gradient = 1/2
m(1/2) = -1
m = -2
To define a line, we need a slope and a point it passes through. We can figure out the slope from the equation given, by changing it into y = mx + b form:
-x + 2y = 4
2y = 4 + x
y = (1/2)x + 2
The slope of this line will be (1/2). The slope of a perpendicular line is the negative reciprocal of the original slope, so in this case, -2. Other than that, I can't give you any other information. The line will take the form:
y = -2x + b
where b is some constant (it could be anything).
If 2 lines are perpendicular the product of their slopes equals (-1).
If the slope of one line is 1/2 then the slope of the other is -2
First, find the slope of the given line:
-x+2y=4
Add x to both sides:
2y=x+4
Divide by 2:
y=1/2x+2
The slope is 1/2
You can find the also find the slope by taking the negative of the x-coefficient divided by the y-coefficient. That's -1/-2, or 1/2
To find the slope of the perpendicular line, you can remember 'take the negative reciprocal'. This would be -2/1, or -2.
Another way to find the slope of the perpendicular line is to remember that if you multiply the slopes of perpendicular lines, the answer is always -1. So, in this example,
m*(1/2)=-1
Multiply both sides by 2
m=-1*2=-2
_/
–x + 2y =4
y= 1/2x +2
slope=1/2
the perpendicular line is
slope = -2
y= -2x+2