A line that includes the points $$ (0,6) $$ and $$ (g, 5) $$ has a slope of $$ \frac{1}{4} $$. What is the value of $$ g $$ ? $$ g= $$

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UpStudy AI · Accepted Answer

To find the value of $$ g $$ for the line passing through the points $$ (0, 6) $$ and $$ (g, 5) $$ with a slope of $$ \frac{1}{4} $$, we can use the formula for the slope between two points:

$$
\text{slope} = \frac{y_2 - y_1}{x_2 - x_1}
$$

Plugging in the given points and slope:

$$
\frac{1}{4} = \frac{5 - 6}{g - 0} = \frac{-1}{g}
$$

Now, solve for $$ g $$:

$$
\frac{-1}{g} = \frac{1}{4} \implies g = -4
$$

**Answer:**  
$$ g = -4 $$
$$ g = -4 $$

A line that includes the points and has a slope of . What is the value of ?

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