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A line that includes the points (-8, f) and (-6, 4) has a slope of 6. What is the value of f?
f =?

Sagot :

Answer:

-8

Step-by-step explanation:

Slope = (y1-y2) / ( x1-x2)

            = ( f-4) / (-8 - -6)      =  6

                  (f-4) / -2    = 6

                    f-4 = -12

                     f = - 8

Fieryanswererftidn

Answer:

f = -8

Explanation:

Find slope:

[tex]\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} = \dfrac{\triangle y}{\triangle x} \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points[/tex]

Here given:

  • points: (-8, f), (-6, 4)
  • slope : 6

Inserting into slope formula:

[tex]\sf \rightarrow \dfrac{4-f}{-6-(-8) } = 6[/tex]

[tex]\sf \rightarrow \dfrac{4-f}{2 } = 6[/tex]

[tex]\sf \rightarrow 4-f = 12[/tex]

[tex]\sf \rightarrow -f = 12-4[/tex]

[tex]\sf \rightarrow -f =8[/tex]

[tex]\sf \rightarrow f =-8[/tex]

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