solve the following problem write your answer the space provided find the slope of the line containing the following points (5,-2) and (-5,-4)

[tex] \large \bold{ \red{PROBLEM:}}[/tex]Solve the following problem write your answer the space provided find the slope of the line containing the following points. (5,-2) and (-5,-4)

[tex] \large \sf(5, - 2) \: and \: ( - 5, - 4)[/tex]

[tex] \large \bold{ \red{SOLUTION:}}[/tex]Use the slope formula to find the slope of a line given the coordinates of two points on the line. The slope formula is [tex] \small \sf m = \frac{y_2 - y_1}{x_2 - x_1} [/tex], or the change in the y values over the change in the x values. The coordinates of the first point represent [tex] \sf x_1[/tex]and [tex] \sf y_1[/tex]

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

[tex] \large \sf m = \frac{ - 4 - ( - 5)}{ - 5 - 5} [/tex]

[tex] \large \sf m = \frac{ - 4 + 5}{ - 5 - 5} [/tex]

[tex] \large \sf m = \frac{ 1}{ - 10} [/tex]

- Therefore the slope is:

[tex] \large \boxed{\sf{ \green{ m = - \frac{ 1}{ 10} }}}[/tex]

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