Answered

What is the formula for finding the slope of a line? Circle your choice.

[tex]\[
\begin{tabular}{|l|l|}
\hline
A. \, m = \frac{y_2 + y_1}{x_2 + x_1} & B. \, m = \frac{y_2 - y_1}{x_2 - x_1} \\
\hline
C. \, m = \frac{x_2 + x_1}{y_2 + y_1} & D. \, m = \frac{x_2 - x_1}{y_2 - y_1} \\
\hline
\end{tabular}
\][/tex]



Answer :

GinnyAnswer
To find the slope of a line given two points [tex]\((x_1, y_1)\)[/tex] and [tex]\((x_2, y_2)\)[/tex], we use the slope formula. The slope [tex]\(m\)[/tex] describes the steepness or incline of the line and is calculated as the change in the vertical direction ([tex]\(y\)[/tex]) divided by the change in the horizontal direction ([tex]\(x\)[/tex]) between two points on the line.

The correct formula is:
[tex]\[ m = \frac{y_2 - y_1}{x_2 - x_1} \][/tex]

By recognizing the correct option from the given choices, we circle:

[tex]\[ \boxed{B} \ m=\frac{y_2-y_1}{x_2-x_1} \][/tex]