What is the slope of the line that passes through the points (-5, 0) and (-3, 1)? Write your answer in simplest form.

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Answer:

☑ Slope is ½

Step-by-step explanation:

[tex]{ \tt{slope = \frac{y_{2} - y _{1} }{x _{2} - x _{1} } }} \\ [/tex]

» General points plotted on a line are;

  • [tex]{ \rm{(x_{1}, \: y _{1}) \: \: and \: \: (x_{2}, \: y _{2} ) }}[/tex]

» From the question given, interpretation of the points is as below;

[tex]{ \rm{x _{1} = {}^{ - } 5}} \\ { \rm{x _{2} = {}^{ - }3 }} \\ { \rm{y_{1} = 0}} \\ { \rm{y_{2} = 1}}[/tex]

» Therefore, slope is;

[tex]{ \tt{slope = \frac{1 - 0}{ {}^{ - } 3 - ( {}^{ - }5) } }} \\ \\ = { \tt{ \frac{1}{ {}^{ - }3 + 5 } }} \\ \\ = \frac{1}{2} [/tex]

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