Answer:
The slope of the line passing through the points (-2, 4) and (5, -1) is [tex]\frac{-5}{7}[/tex]
Solution:
We know the slope intercept of the line is given by [tex]y = mx + c[/tex], where m is the slope of the line and c is a constant
To find the value of ‘m’ we use the given formula
[tex]m = \frac{(y_2- y_1)}{(x_2- x_1 )}[/tex]
Here ,
[tex]x_1= -2[/tex]
[tex]x_2= 5[/tex]
[tex]y_1= 4[/tex]
[tex]y_2= -1[/tex]
Substituting the values in formula for m, we get
[tex]m=\frac{-1-4}{5-(-2)}[/tex]
[tex]m=\frac{-1-4}{5+2)}[/tex]
[tex]m=\frac{-5}{7)}[/tex]
Therefore the slope of the line passing through the points (-2, 4) and (5, -1) is [tex]\frac{-5}{7}[/tex]
