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 $y=-5x-17$.