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What is the slope of the line that passes through the points (2, 3) and (0, 11)? Write your
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GinnyAnswer

To determine the slope of a line passing through two points, we use the slope formula:

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

where \(\((x_1, y_1)\)\) and \(\((x_2, y_2)\)\) are the coordinates of the two points. In this case, the points given are \(\((2, 3)\)\) and \(\((0, 11)\)\).

Let's substitute the coordinates of the points into the formula:

1. Identify the coordinates:
\(\[ (x_1, y_1) = (2, 3) \]\)
\(\[ (x_2, y_2) = (0, 11) \]\)

2. Substitute these values into the slope formula:
\(\[ m = \frac{11 - 3}{0 - 2} \]\)

3. Perform the subtraction in the numerator and the denominator:
\(\[ m = \frac{8}{-2} \]\)

4. Simplify the fraction:
\(\[ m = -4 \]\)

So, the slope of the line passing through the points (2, 3) and (0, 11) is \(\(-4\)\).

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