Question

skill plans Recommendations 4. Main Og Language arts scence Eighth grade ) Y.2 Find the slope from two points ZAC Find the slope of the line that passes through (5, 6) and (10, 3). Simplify your answer and write it as a proper fraction, improper fraction, or inte Submit

Answer 1

We need to find the slope between the points:

$(5,6)\text{ and }(10,3)$

Step 1. Label the coordinates as follows (remember that in a coordinate point, the first number is the x-value and the second number is the y-value):

$\begin{gathered} x_1=5 \\ y_1=6 \\ x_2=10 \\ y_2=3 \end{gathered}$

Step 2: Use the slope formula:

$\text{slope}=\frac{y_2-y_1}{x_2-x_1}$

Step 3. Substitute the values of x1, y1, x2, and y2 into the formula:

$\text{slope}=\frac{3-6}{10-5}$

Step 4. Solve the operations to find the slope:

$\text{slope}=\frac{-3}{5}$

Answer:

$-\frac{3}{5}$