Line AB has the equation y= ¼x + 6 write down the gradient of a line that is Parallel to line AB and perpendicular to line AB (2×1=2)
the slope of your line is 1/4 so the slope of any line parallel to it is 1/4
the slope of a line perpendicular to it
is -1/(1/4) = -4
To find the gradient of a line parallel to line AB, we can directly use the same slope as line AB, which is 1/4. Therefore, the gradient of a line parallel to line AB is also 1/4.
To find the gradient of a line perpendicular to line AB, we need to use the negative reciprocal of the slope of line AB. The negative reciprocal of 1/4 is -4/1, which simplifies to -4. Therefore, the gradient of a line perpendicular to line AB is -4.
To find the gradient of a line that is parallel to line AB, we need to remember that parallel lines have the same gradient. Therefore, the gradient of the line parallel to line AB will also be 1/4.
To find the gradient of a line that is perpendicular to line AB, we need to remember that perpendicular lines have gradients that are negative reciprocals of each other. The negative reciprocal of 1/4 is -4/1 or simply -4. Therefore, the gradient of the line perpendicular to line AB is -4.
So, the gradient of a line parallel to line AB is 1/4, and the gradient of a line perpendicular to line AB is -4.