Question

Y+1=2/5(x+3) in standard form?

Answer 1

For this case we have that by definition, the equation of a line in the standard form is given by:

`ax + by = c`

According to the statement we have the following equation of the line:

`y + 1 = \frac {2} {5} (x + 3)`

We manipulate algebraically to write in the standard form. To do this we follow the steps below:

We apply distributive property on the right side of the equation:
`y + 1 = \frac {2} {5} x + \frac {6} {5}`

We subtract
`\frac {6} {5}` on both sides of the equation:

`y + 1- \frac {6} {5} = \frac {2} {5} x\\y- \frac {1} {5} = \frac {2} {5} x`

We multiply by 5 on both sides of the equation:

`5y-1 = 2x`

We subtract 5y on both sides of the equation:

`2x-5y = -1`

Finally, the equation in its standard form is:

`2x-5y = -1`

Answer:

`2x-5y = -1`