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]
