Question

what is the slope of the line through (1,0)(1,0)left parenthesis, 1, comma, 0, right parenthesis and (3,8)(3,8)

Answer 1

The slope of the line passing through (1 , 0) and (3 , 8) is 4.

Slope, commonly represented by the letter m, is a value that describes the steepness and direction of a line. The slope of a line is also called its gradient or rate of change.

It is the vertical change in y divided by the horizontal change in x, sometimes called rise over run. The slope formula uses two points, $(x_{1}, y_{1} )$ and $(x_{2}, y_{2} )$, to calculate the change in y over the change in x.

$m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$     where

$x_{1} = 1$

$y_{1} = 0$

$x_{2} = 3$

$y_{2} = 8$

Substituting the values,

$m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} } =\frac{8-0}{3-1} =\frac{8}{2}=4$

Hence, he slope of the line passing through (1 , 0) and (3 , 8) is 4.

For more example on slope of line, visit brainly.com/question/3493733.

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