Question

Write this equation in standard form
y + 4 = 2/3 (x+7)

Answer 1

`\[y = (2)/(3)x + (2)/(3)\]`

Explanation:

Given equation:

`\[y + 4 = 2/3 (x+7)\]` ------------------------ (1)

Standard form of the equation:

`\[y = mx + c\]` --------------------------------- (2)

where m is the slope and c is the intercept.

Simplifying equation 1 in the format represented by 2:

`\[y + 4 = 2/3 x+7)\]`

=>
`\[y + 4 = (2)/(3)x + (14)/(3)\]`

=>
`\[y = (2)/(3)x + (14)/(3) - 4\]`

=>
`\[y = (2)/(3)x + (2)/(3)\]`

Answer 2

`y=(2)/(3)x+(2)/(3)`

Explanation:

The standard equation of a straight line is of the form:

`y=mx+c`

We have to convert the given equation into above form.

Simplifying the given equation:

`y=(2)/(3)x+(14)/(3)-4`

`=(2)/(3)x+((14-12))/(3)`

`=(2)/(3)x+(2)/(3)`.- This is in standard form

where
`m=c=(2)/(3)`