What is the correct set up to finding the slope of a line that passes through the points (6, −3) and (−2, 7)

Question

?(1 point)
Responses

6−(−3)−2−7
the fraction with numerator 6 minus negative 3 and denominator negative 2 minus 7

6−2−3+7
the fraction with numerator 6 minus 2 and denominator negative 3 plus 7

7−(−3)−2−6
the fraction with numerator 7 minus negative 3 and denominator negative 2 minus 6

7−3−2−6

Answer 1

To find the slope of a line passing through the points \((6, -3)\) and \((-2, 7)\), we use the slope formula:

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

Here, \( (x_1, y_1) = (6, -3) \) and \( (x_2, y_2) = (-2, 7) \).

Substituting these coordinates into the slope formula:

\[ m = \frac{7 - (-3)}{-2 - 6} \]

This simplifies to:

\[ m = \frac{7 + 3}{-2 - 6} = \frac{10}{-8} = -\frac{5}{4} \]

Looking at the response options, the correct setup for the slope calculation is:

7−(−3)−2−6 (the fraction with numerator 7 minus negative 3 and denominator negative 2 minus 6).