Question

Find the slope and the y-intercept of the graph of the linear equation.x+y = -6The slope is the y-intercept is

Answer 1

Given an equation of a line of the form

$y=mx+c$

where m and c are constants.

Then m is the gradient of the line

and c is the y-intercept.

In our case,

$\begin{gathered} x+y=-6 \\ \Rightarrow y=-x-6 \end{gathered}$

Hence m=-1

and

c=-6

The slope -1

the y-intercept = -6