Question

Rewrite the equation in standard form of the line that passes through the given points (-1,-4); (1,6)

Answer 1

5x - y = -1

Explanation:

The point-slope form of an equation of a line:

`y-y_1=m(x-x_1)`

m - slope

The formula of a slope:

`m=(y_2-y_1)/(x_2-x_1)`

========================================

We have the points (-1, -4) and (1, 6). Substitute:

`m=(6-(-4))/(1-(-1))=(10)/(2)=5`

`y-(-4)=5(x-(-1))\\\\y+4=5(x+1)`

Convert it to the standard form
`Ax+By=C`:

`y+4=5(x+1)` use the distributive property

`y+4=5x+5` subtract 4 from both sides

`y=5x+1` subtract 5x from both sides

`-5x+y=1` change the signs

`5x-y=-1`