Respuesta :

Answer:

The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .

Answer : The slope of this line is, [tex]\frac{-3}{4}[/tex]

Step-by-step explanation :

The general form for the formation of a linear equation is:

[tex](y-y_1)=m\times (x-x_1)[/tex] .............(1)

where,

x and y are the coordinates of x-axis and y-axis respectively.

m is slope of line.

Now we have to calculate the slope of line.

Formula used :

[tex]m=\frac{(y_2-y_1)}{(x_2-x_1)}[/tex]

Here,

[tex](x_1,y_1)=(0,2)[/tex] and [tex](x_2,y_2)=(4,-1)[/tex]

[tex]m=\frac{(-1-2)}{(4-0)}[/tex]

[tex]m=\frac{-3}{4}[/tex]

Therefore, the slope of this line is, [tex]\frac{-3}{4}[/tex]

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