Question

find the slope of equation 2x+y=3

Answer 1

Hey there!

In the equation y = mx + c, m is the slope.

So,

2x + y = 3

y = -2x + 3 .

So, This is in the form of y = mx + c

Comparing both,

We get m = -2 .

Therefore,

Slope of the equation is - 2

Answer 2

heya...!

there are two methods to find the slope of this line :-

METHOD 1.

compare the equation with ax + by +c

now,comparing we get,

a = 2 ,b = 1 .

thus,

slope =
$\frac{ - a}{b}$

so,slope here will be = -2.

remember :- this method is very useful in coordinate geometry because there is no use of solving it.Just divide the coefficient of x with y and write it negative.



METHOD 2

2x + y = 3

y = -2x + 3

comparing it with y = mx + c ,

we get slope = -2.

this method is somewhat time consuming .so,better follow method 1.



thanks

KSHITIJ