Question

What is

y
−
2
=
−
3
(
x
−
7
)
y−2=−3(x−7)y, minus, 2, equals, minus, 3, left parenthesis, x, minus, 7, right parenthesis written in standard form?

Answer 1

Standard form of the equation is:

∴
`3x+y=23`

Explanation:

Given equation:

`y-2=-3(x-7)`

To convert the given equation to standard form of equation:

`A(x)+B(y)=c`

Using distribution.

`y-2=(-3x)+(-3*-7)`

`y-2=-3x+21`

Adding 2 both sides.

`y-2+2=-3x+21+2`

`y=-3x+23`

Adding
`3x` to both sides.

`3x+y=3x-3x+23`

∴
`3x+y=23`