Which formula can be used to find the slope of a line from two points (x1,y1)

and (x2,y2)
?(1 point)
Responses

y2+y1x2+x1
Start Fraction y subscript 2 baseline plus y subscript 1 baseline over x subscript 2 baseline plus x subscript 1 baseline End Fraction

y2y1−x2x1
Start Fraction y subscript 2 baseline over y subscript 1 baseline End Fraction minus Start Fraction x subscript 2 baseline over x subscript 1 baseline End Fraction

y2−y1x2−x1
Start Fraction y subscript 2 baseline minus y subscript 1 baseline over x subscript 2 baseline minus x subscript 1 baseline End Fraction

x2−x1y2−y1

1 answer

The correct formula to find the slope of a line from two points \((x_1,y_1)\) and \((x_2,y_2)\) is:

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

So the correct response is:

\[ \frac{y_2−y_1}{x_2−x_1} \]

This formula calculates the change in the y-values divided by the change in the x-values, which gives the slope of the line.