Question

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

f(x) = –2/3x – 11
f(x) = –2/3x – 1
f(x) = –2/3x + 3
f(x) = –2/3x + 13

Answer 1

The answer is B on edge

Explanation:

Answer 2

First option:
`f(x)=-(2)/(3)x-11`

Explanation:

Given the point-slope equation
`y+7=-(2)/(3)(x+6)`, you need to solve for
`y`, because you are looking for the equation of the line in slope-intercept form:

`y=mx+b`

Being
`m` the slope of that line, and
`b` the intersection of the line with the y-axis.

Then:

Apply Distributive property:

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

Subtract 7 from both sides:

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

Rewrite the equation:

`f(x)=-(2)/(3)x-11` (The linear function of the First option)