Given:
M=-5 and (-3,-2).
To find:
The equation in the form [tex]y=mx+b[/tex].
Solution:
The slope intercept form of a line is
[tex]y=mx+b[/tex] ...(i)
where, m is slope and b is y-intercept.
We have m=-5. Putting m=-5 in (i), we get
[tex]y=-5x+b[/tex] ...(ii)
We have a point (-3,-2). Putting x=-3 and y=-2 in (ii), we get
[tex]-2=-5(-3)+b[/tex]
[tex]-2=15+b[/tex]
[tex]-2-15=b[/tex]
[tex]-17=b[/tex]
So, the value of b is -17.
Putting b=-17 in (ii), we get
[tex]y=-5x+(-17)[/tex]
[tex]y=-5x-17[/tex]
Therefore, the required equation is [tex]y=-5x-17[/tex].
