Question

y= 2x +3

Slope of line is ​

Answer 1

Answer:

it is in the form of y=mx+c where m is the slope ..

So slope is 2.

or

I can differentiate it.

then..dy/dx=2..

slope =2

Answer 2

Answer:

$\large\boxed{\sf{Slope=2}}$

Step-by-step explanation:

Given an equation of line such that,

y = 2x + 3

Now, we know that, the slope intercept form of a line is given by,

y = mx + c

Where, m is the slope and c is intercept on y axis.

Comparing both the equations, we get,

m = 2

Therefore, slope of line = 2.

Also, we can find this by differentiatiating the equation wrt x.

Therefore, we will get,

=> dy/dx = d/dx (2x +3)

=> dy/dx = 2 dx/dx + d/dx (3)

=> dy/dx = 2 × 1 + 0

=> dy/dx = 2

But, we know that, dy/dx = slope.

Hence, slope of line = 2.