Calculate the slope of the line based on the two points in the graph (-4,5).(8,-1). Leave the answer in simplest fraction form, if it applies. If the slope is undefined, enter a value of 100.

Question

(1 point)
The slope of the line is
.

Answer 1

To calculate the slope of the line based on the two points \((-4, 5)\) and \((8, -1)\), we can use the slope formula:

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

where \((x_1, y_1) = (-4, 5)\) and \((x_2, y_2) = (8, -1)\).

Plugging in the values:

\[ m = \frac{-1 - 5}{8 - (-4)} \]

Calculating the values:

\[ m = \frac{-6}{8 + 4} \] \[ m = \frac{-6}{12} \]

Now, simplifying the fraction:

\[ m = \frac{-1}{2} \]

Thus, the slope of the line is \(\frac{-1}{2}\).

Answer 2

is there another answer caus this one is wrong sorry

Answer 3

Let's carefully recalculate the slope based on the two points \((-4, 5)\) and \((8, -1)\).

Using the slope formula:

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

where:

• \((x_1, y_1) = (-4, 5)\)
• \((x_2, y_2) = (8, -1)\)

Substituting the values into the formula:

\[ m = \frac{-1 - 5}{8 - (-4)} \]

Calculating the numerator:

\[ y_2 - y_1 = -1 - 5 = -6 \]

Calculating the denominator:

\[ x_2 - x_1 = 8 - (-4) = 8 + 4 = 12 \]

Now substituting back into the slope formula:

\[ m = \frac{-6}{12} \]

Simplifying the fraction:

\[ m = \frac{-1}{2} \]

So the slope of the line is indeed \(\frac{-1}{2}\).

If you received a different answer or if there's a misunderstanding, please let me know, and I'll be happy to help clarify further!