Question

How do you write the equation of a line y+1=5(x-9) in standard from?

Answer 1

`y=5x-46`

Explanation:

Stand form of equation is `y=mx + c`

`y+1=5(x-9)` -----> simplify this equation
`y+1=5x-45`-----> subtract -1 in both sides
`y=5x-45-1`
`y=5x-46`

Answer 2

`5x-y=46`

Explanation:

`"the equation of a line in "color(blue)"standard form"` is.

`color(red)(bar(ul(|color(white)(2/2)color(black)(Ax+By=C)color(white)(2/2)|)))`

`"where A is a positive integer and B, C are integers"`

`"rearrange "y+1=5(x-9)" into this form"`

`rArry+1=5x-45`

`"subtract "y" and add 45 to both sides gives"`

`5x-y=46larrcolor(red)"in standard form"`