Hope I helped :)
The standard form of a line can be written y = mx + b where m is the slope.
y = x + 5 can be written as y = 1x + 5 which shows that the slope is 1.
If the slope of a line is m then the slope of a line perpendicular to it is -1/m.
So the required slope is -1/1 = -1.
Here we are given equation of a line and we need to find the slope of the line which is perpendicular to this line.
Here we are going to use the property of lines which says that the product of the slope of the two Perpendicular lines is always negative 1 .
For that we first have to find the slope of the line given to us. If y term is not having 1 as coefficient with it, the coefficient of the x on the other side of the = is the slope of the line.
Here the coefficient is 1 , and the coefficient of x on right hand side is also 1, thus the slope of the line represented by it is 1
Hence the slope of line which is perpendicular to this line will be negative reciprocal of 1 that is -1
the line is exactly opposite like a mirror image when it is perpendicular,
so the gradient of the first line is 1 (because there is no number beside x, the gradient would be 1), that means the opposite of 1 would be -1.
The answer is -1
1 is the slope
For perpendicular lines, you need to find the negative recipricol which would be 1 for -1
This is a Linear Equation. This equation will show you the y intercept, and slope of a line. In the equation shown, -1 is the coefficient of x, therefore the starting line has a slope of -1. This means that the perpendicular line should have a positive slope, because they must intersect. If it was negative it would become more or less parallel to the original line. This eliminates answers A and B. If C was chosen, the two lines would intersect but they would not be perpendicular. This means the answer is B.
(The slope of the line perpendicular to y = -x + 5 is supposed to be 1.)
The slope of a line that is perpendicular to another line is: , where m is the slope of the line.
The slope of a line perpendicular to the line y = -x + 5 will be: