Question

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

f =?

Answer 1

-8

Step-by-step explanation:

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

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

(f-4) / -2 = 6

f-4 = -12

f = - 8

Answer 2

f = -8

Step-by-step explanation:

Find slope:

`\sf slope: (y_2 - y_1)/(x_2- x_1) = (\triangle y)/(\triangle x) \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points`

Here given:

• points: (-8, f), (-6, 4)

• slope : 6

Inserting into slope formula:

`\sf \rightarrow (4-f)/(-6-(-8) ) = 6`

`\sf \rightarrow (4-f)/(2 ) = 6`

`\sf \rightarrow 4-f = 12`

`\sf \rightarrow -f = 12-4`

`\sf \rightarrow -f =8`

`\sf \rightarrow f =-8`