Respuesta :

Answer:

[tex] \huge{ \boxed{ \tt{ \frac{ 7}{4} }}}[/tex]

Step-by-step explanation:

[tex] \text{Let \: the \: points \: be \: A \: and \: B}[/tex]

[tex] \sf{A \:( \: 0 \:, - 5 \: ) \longrightarrow{ \: (x1 \:, y1)}}[/tex]

[tex] \sf{B(4 \:, 2) \: \longrightarrow{ \:( x2 \:, y2)}}[/tex]

[tex] \underline{ \text{Finding \: the \: slope} }: [/tex]

[tex] \boxed{ \sf{Slope = \frac{y2 - y1}{x2 - x1}}} [/tex]

[tex] \sf{➳ \: Slope = \frac{2 - ( - 5)}{4 - 0}} [/tex]

[tex] \sf{➳ \: Slope = \frac{ 2 + 5}{4} }[/tex]

[tex] \sf{➳ \: Slope = \frac{7}{4} }[/tex]

[tex] \text{Hope \: I \: helped!}[/tex]

[tex] \text{Best \: regards!}[/tex]

~[tex] \text{TheAnimeGirl}[/tex]