Question
Find the gradient of the line AB.
[ 1 ]
( b ) Calculate the angle that AB makes with the x-axis.
[ 1 ]
( b ) Calculate the angle that AB makes with the x-axis.
Answers
GPT 3.5
To find the gradient of the line AB, we first need to determine the coordinates of points A and B. If point A is at (0,0) and point B is at (1,1), then the gradient can be calculated as:
Gradient (m) = (change in y) / (change in x)
m = (1-0) / (1-0)
m = 1/1
m = 1
Therefore, the gradient of the line AB is 1.
To calculate the angle that AB makes with the x-axis, we can use the tangent function:
tan(angle) = gradient
angle = arctan(gradient)
angle = arctan(1)
angle = 45 degrees
Therefore, the angle that line AB makes with the x-axis is 45 degrees.
Gradient (m) = (change in y) / (change in x)
m = (1-0) / (1-0)
m = 1/1
m = 1
Therefore, the gradient of the line AB is 1.
To calculate the angle that AB makes with the x-axis, we can use the tangent function:
tan(angle) = gradient
angle = arctan(gradient)
angle = arctan(1)
angle = 45 degrees
Therefore, the angle that line AB makes with the x-axis is 45 degrees.