Respuesta :

The slope of the line is 1.

Here we have two points on graph;

[tex](x_{1} ,y_{1} ) = ( 4,1)[/tex] and [tex](x_{2} ,y_{2} ) = (-1, -4)[/tex]

What is Slop in graph?

The slope is defined as the ratio of the vertical changes between two points , the rise, to the horizontal change between the same points, to run.

To find the slope of line, we need to know the slope formula.

The slope formula is:

[tex]m=\frac{{y_{2}-y_{1} } }{x_{2} -x_{1} }[/tex]

where, m is slope and [tex](x_{1} ,y_{1} ) = ( 4,1)[/tex]   and    [tex](x_{2} ,y_{2} ) = (-1, -4)[/tex] are two points on graph.

So the slope of the line is;

[tex]m=\frac{-4-1}{-1-4} \\m= 1[/tex]

Hence the slope of the line is 1.

learn more about the Slope of the line visit:

https://brainly.in/question/8940794

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