Finding slope given two points on a line
Find the slope of the line passing through the points and .

Ask by Henry Knight. in the United States

Mar 16,2025

Question

Finding slope given two points on a line Find the slope of the line passing through the points $$ (3,8) $$ and $$ (7,-7) $$. $$ \square $$

UpStudy AI · Accepted Answer

1. Write down the slope formula:
   $$
   m = \frac{y_2 - y_1}{x_2 - x_1}
   $$

2. Identify the given points:
   $$
   (x_1, y_1) = (3,8) \quad \text{and} \quad (x_2, y_2) = (7,-7)
   $$

3. Substitute the coordinates into the formula:
   $$
   m = \frac{-7 - 8}{7 - 3}
   $$

4. Simplify the numerator and denominator:
   $$
   m = \frac{-15}{4}
   $$

The slope of the line passing through the given points is $$ m = -\frac{15}{4} $$.
The slope of the line is $$ -\frac{15}{4} $$.

Finding slope given two points on a line
Find the slope of the line passing through the points and .