Hey there! We receieved your request
Stay Tuned as we are going to contact you within 1 Hour
One of our academic counsellors will contact you within 1 working day.
Click to Chat
1800-5470-145
+91 7353221155
Use Coupon: CART20 and get 20% off on all online Study Material
Complete Your Registration (Step 2 of 2 )
Sit and relax as our customer representative will contact you within 1 business day
OTP to be sent to Change
For any line, dy/dx is its slope.
If the line makes an angle of 45 degree wit the x-axis in clockwise direction,
it means that it makes an angle of -45 deg in anti-clockwise direction.
Slope = tan(angle made with x-axis)
Therefore,
Slope = tan(-45 degree) = -1
Hence,
For this line,
dy/dx = -1
Another method:
Slope or dy/dx is the rate at which y changes with respect to x.
Here, the angle which the line makes with x- axis is 45 degree.
Lets say we move one unit along the x-axis.
Since the angle with x-axis is 45 degree,
We move
(1)(tan45) = (1)(1) = 1 unit alon the y-axis as well
But since the line is going downwards if we move along positive x-axis, we can see that the line will be moving one unit downward along y-axis.
Hence, change in y = -1
Change in x = 1
So, slope = -1/1 = 1
Get your questions answered by the expert for free
You will get reply from our expert in sometime.
We will notify you when Our expert answers your question. To View your Question
Win Gift vouchers upto Rs 500/-
Register Yourself for a FREE Demo Class by Top IITians & Medical Experts Today !