Question

Solve using Y=Mx+b

M=-5 and (-3,-2)

Answer 1

Given:

M=-5 and (-3,-2).

To find:

The equation in the form
`y=mx+b`.

Solution:

The slope intercept form of a line is

`y=mx+b` ...(i)

where, m is slope and b is y-intercept.

We have m=-5. Putting m=-5 in (i), we get

`y=-5x+b` ...(ii)

We have a point (-3,-2). Putting x=-3 and y=-2 in (ii), we get

`-2=-5(-3)+b`

`-2=15+b`

`-2-15=b`

`-17=b`

So, the value of b is -17.

Putting b=-17 in (ii), we get

`y=-5x+(-17)`

`y=-5x-17`

Therefore, the required equation is
`y=-5x-17`.