Question

Which linear function represents the line given by the point-slope equation y + 7 = –2/3 (x + 6)?

Answer 1

y=-2/3x -11

Explanation:

Answer 2

`y= -(2)/(3)x-11`

Explanation:

Th equation of line is given by:

`y = mx+b`

where, m is the slope and b is the y-intercept.

As per the statement:

Given the point slope form equation:

`y+7 = -(2)/(3)(x+6)`

Using distributive property,
`a \cdot(b+c) = a\cdot b+ a\cdot c`

`y+7 = -(2)/(3)x-4`

subtract 7 from both sides we have;

`y+7-7= -(2)/(3)x-4-7`

Simplify:

`y= -(2)/(3)x-11`

Therefore, a linear function represents the line given by the point-slope equation is,
`y= -(2)/(3)x-11`