Find the slope of the line whose equation is x + y = 6 is

Solution:

The given equation can be rewritten in the slope-intercept form y = mx + c as shown below:

y = -x + 6(1)

In the slope-intercept form i.e. y = mx + c the slope of the line is m and the intercept is given in the form of a constant c.

Comparing equation (1) with the intercept form we get,

m = -1  and   c = 6 

Hence the slope of the equation x + y = 6 is -1

Let us look at another equation 2x + 3y = 15. If we write this equation in the slope-intercept form we get

3y = -2x + 15

y = -2x/3  + 5

Hence the slope of this line is -2/3 and the intercept value is 5.

Find the slope of the line whose equation is x + y = 6 is

Summary:

 The slope of the line whose equation is x + y = 6 is -1