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

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

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

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

Answer 1

To find the slope (\(m\)) of a line that passes through the points \( (x_1, y_1) = (6, -3) \) and \( (x_2, y_2) = (-2, 7) \), you can use the slope formula:

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

Substituting the given points into the formula gives us:

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

This simplifies to:

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

Among the options provided, the correct setup for calculating the slope is:

7−(−3)/−2−6, which is the fraction with numerator \(7 - (-3)\) and denominator \(-2 - 6\).