Question

match the form or formula with its name.
$m = \frac{y_2 - y_1}{x_2 - x_1}$
\bigcirc slope-intercept form
\bigcirc point-slope formula
\bigcirc horizontal line
\bigcirc standard form
\bigcirc slope formula
\bigcirc vertical line

Explanation:

The formula \( m = \frac{y_2 - y_1}{x_2 - x_1} \) is used to calculate the slope (\( m \)) of a line given two points \((x_1, y_1)\) and \((x_2, y_2)\). This is known as the slope formula. The other options do not match: slope - intercept form is \( y=mx + b \), point - slope formula is \( y - y_1=m(x - x_1) \), horizontal line has equation \( y = k \), standard form is \( Ax+By = C \), and vertical line has equation \( x = k \).

Answer:

Slope formula