# If the line that passes through #(0, -5)# and #(2, g)# has slope #1/6#, what is the value of #g#?

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To find the value of g, use the formula for slope:

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

Given points (0, -5) and (2, g), plug in the values:

1/6 = (g - (-5)) / (2 - 0)

Solve for g:

1/6 = (g + 5) / 2

Cross multiply:

2(g + 5) = 6

Distribute:

2g + 10 = 6

Subtract 10 from both sides:

2g = -4

Divide both sides by 2:

g = -2

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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