Question

Write an equation for the line below, (-6,-5) (4,-2)

Answer 1

`y=(3)/(10) x-(16)/(5)`

Explanation:

Equation for slope:

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

Substitute in your x and y values:

`m=(-2+5)/(4+6) \\ m=(3)/(10)`

Now write the equation:

`y=(3)/(10) x`

this is not done yet though since it does not work:

`-2=(3)/(10) *4\\-2=1(1)/(5)`

so we add the y- intercept
`b` to make the equation equal:

`-2=1(1)/(5)+b`

From here we solve for
`b`:

`b=-(16)/(5)`

`y=(3)/(10) x-(16)/(5)`