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Finding the Slope from Points
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What is the slope of the line that passes through the points (-6, 5) and (-3, 20)? Write your
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Verified Answer :

GinnyAnswer

To find the slope of the line passing through the points (-6, 5) and (-3, 20), we need to use the slope formula. The slope of a line between two points \(\((x_1, y_1)\)\) and \(\((x_2, y_2)\)\) is given by:

\(\[ \text{slope} = \frac{y_2 - y_1}{x_2 - x_1} \]\)

Given the points \(\((-6, 5)\)\) as \(\((x_1, y_1)\)\) and \(\((-3, 20)\)\) as \(\((x_2, y_2)\)\), we can plug these values into the formula step-by-step:

1. Identify the coordinates of the points:
- \(\((x_1, y_1) = (-6, 5)\)\)
- \(\((x_2, y_2) = (-3, 20)\)\)

2. Substitute these values into the slope formula:

\(\[ \text{slope} = \frac{20 - 5}{-3 - (-6)} \]\)

3. Simplify the numerator and the denominator:
- The difference in the y-coordinates (numerator) is:
\(\[ 20 - 5 = 15 \]\)

- The difference in the x-coordinates (denominator) is:
\(\[ -3 - (-6) = -3 + 6 = 3 \]\)

4. Divide the simplified numerator by the simplified denominator:
\(\[ \text{slope} = \frac{15}{3} = 5 \]\)

Therefore, the slope of the line that passes through the points (-6, 5) and (-3, 20) is:

\(\[ \boxed{5} \]\)

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