Question

Use the table to answer the question.%0D%0A%0D%0A x %09 y %0D%0A−1 %096%0D%0A1%099%0D%0A3%0912%0D%0AUse the data from the table to determine the slope of the line.%0D%0A%0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0A23%0D%0AStart Fraction 2 over 3 End Fraction%0D%0A%0D%0A3%0D%0A3%0D%0A%0D%0A32%0D%0AStart Fraction 3 over 2 End Fraction%0D%0A%0D%0A30

Answer 1

To calculate the slope of the line using the data from the table, we can use the formula for the slope (m):

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

Let's use two points from the table:

1. Point 1: \((-1, 6)\)
2. Point 2: \((1, 9)\)

Now plug the values into the slope formula:

\[ m = \frac{9 - 6}{1 - (-1)} = \frac{3}{1 + 1} = \frac{3}{2} \]

Next, let’s verify using another pair of points:

1. Point 1: \((1, 9)\)
2. Point 2: \((3, 12)\)

Applying the formula again:

\[ m = \frac{12 - 9}{3 - 1} = \frac{3}{2} \]

The slope calculated using both pairs of points is \(\frac{3}{2}\).

Final Answer: \(\frac{3}{2}\)