Question

Which linear function represents the line given by the point-slope equation y + 7 = –2/3(x + 6)? Here are the options f(x) = –2/3x – 11, f(x) = –2/3x – 1, f(x) = –2/3 + 3, f(x) = –2/3x + 13.

Answer 1

The correct answer is: f(x) = –2/3x – 11

Explanation:

We have to convert the line given in point slope form to a form which can be compared by the given options

So,

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

`y=-(2)/(3)(x+6)\\ y+7=-(2)/(3)x+(6)(-(2)/(3)) \\ y+7=-(2)/(3)x-4\\y=-(2)/(3)x-4-7\\y=-(2)/(3)x-11`

Therefore the correct answer is: f(x) = –2/3x –11 ..