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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

Respuesta :

calculista

Answer:

Negative Start Fraction 2 Over 3 End Fraction x minus 11

[tex]f(x)=-\frac{2}{3}x-11[/tex]

Step-by-step explanation:

we have

[tex]y+7=-\frac{2}{3}(x+6)[/tex]

Convert to slope intercept form

[tex]y=mx+b[/tex]

Solve for y

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

Distribute in the right side

[tex]y+7=-\frac{2}{3}x-\frac{2}{3}(6)[/tex]

[tex]y+7=-\frac{2}{3}x-4[/tex]

subtract 7 both sides

[tex]y=-\frac{2}{3}x-4-7[/tex]

[tex]y=-\frac{2}{3}x-11[/tex]

Convert to function notation

Let

f(x)=y

[tex]f(x)=-\frac{2}{3}x-11[/tex]

therefore

The linear function is

Negative Start Fraction 2 Over 3 End Fraction x minus 11

smartjazmin9

Answer:

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

Step-by-step explanation:

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