Question

Which linear function represents the line given by the point-slope equation y + 7 = –y plus 7 equals negative StartFraction 2 Over 3 EndFraction left-parenthesis x plus 6 right-parenthesis.(x + 6)?

f(x) = –f(x) equals negative StartFraction 2 Over 3 EndFraction x minus 11.x – 11
f(x) = –f(x) equals negative StartFraction 2 Over 3 EndFraction x minus 1.x – 1
f(x) = –f(x) equals negative StartFraction 2 Over 3 EndFraction x plus 3.x + 3
f(x) = –f(x) equals negative StartFraction 2 Over 3 EndFraction x plus 13.x + 13

Answer 1

A) f(x) = -2/3x -11

Explanation:

Answer 2

Negative Start Fraction 2 Over 3 End Fraction x minus 11

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

Explanation:

we have

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

Convert to slope intercept form

`y=mx+b`

Solve for y

That means -----> Isolate the variable y

Distribute in the right side

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

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

subtract 7 both sides

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

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

Convert to function notation

Let

f(x)=y

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

therefore

The linear function is

Negative Start Fraction 2 Over 3 End Fraction x minus 11