Question

What's the gradient of a line which has the equation y=3x+2

Answer 1

Answer:

3

Step-by-step explanatithe general formula for a linear equation is

y=mx+c

where y

          x

          m is gradient

          c y-intercept(the point where the line cuts why axis)

since you are looking for gradient: y=3x+2

                                                             y=mx+c

                                            gradient,m=3

Answer 2

Given : a line which has the equation y=3x+2

To find : Gradient

Solution :

y=3x+2

The gradient of the line = (change in y-coordinate)/(change in x-coordinate)

=> gradient of  line  = Slope of  line   = dy/dx

a line

y = mx  + c  has slope /gradient  = m

comparing  y = 3x + 2  with  y = mx + c

m = 3

Hence Gradient of line = 3

Another method

y = 3x + 2

dy/dx = 3

Hence gradient of line  = 3

gradient of line with  equation y=3x+2   is   3  

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