A line that includes the points $$ (-3, c) $$ and $$ (-2,2) $$ has a slope of 10. What is the value of $$ c $$ ? $$ c=\square $$

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UpStudy AI · Accepted Answer

To find the value of $$ c $$ such that the line passing through the points $$ (-3, c) $$ and $$ (-2, 2) $$ has a slope of 10, we can use the slope formula:

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

Plugging in the given values:

$$
10 = \frac{2 - c}{-2 - (-3)}
$$

Simplify the denominator:

$$
10 = \frac{2 - c}{1}
$$

This simplifies to:

$$
10 = 2 - c
$$

Solving for $$ c $$:

$$
c = 2 - 10
$$
$$
c = -8
$$

**Answer:** 
$$-8$$
$$ c = -8 $$

A line that includes the points and has a slope of 10. What is the value of ?

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