Question

What is the equation for this line

Answer 1

The equation of the line is
`y=(-1)/(5) x-(21)/(5)`.

Solution:

The points on the line are (–6, –3) and (4, –5).

`x_(1)=-6, y_(1)=-3, x_(2)=4, y_(2)=-5`

Slope of the line:

`$m=(y_(2)-y_(1))/(x_(2)-x_(1))`

`$m=(-5-(-3))/(4-(-6))`

`$m=(-5+3)/(4+6)`

`$m=(-2)/(10)`

`$m=(-1)/(5)`

Point-slope formula:

`y-y_(1)=m\left(x-x_(1)\right)`

`$y-(-3)=(-1)/(5)(x-(-6))`

`$y+3=(-1)/(5)(x+6)`

`$y+3=(-1)/(5) x-(6)/(5)`

Subtract 3 from both sides of the equation.

`$y=(-1)/(5) x-(21)/(5)`

The equation of the line is
`y=(-1)/(5) x-(21)/(5)`.