Answer:
m = - 4
Slope of function = - 4
Step-by-step explanation:
m = slope of function
Two points on slope = ( - 4 , - 2 ) , ( - 2 , - 10 )
m = ( y1 - y2 ) / ( x1 - x2 )
y1 = - 2
y2 = - 10
x1 = - 4
x2 = - 2
m = [ ( - 2 ) - ( - 10 ) ] / [ ( - 4 ) - ( - 2 ) ]
m = ( - 2 + 10 ) / ( - 4 + 2 )
m = 8 / - 2
m = - 4
Therefore:
Slope of function = - 4
The slope of a line indicates how steep it is calculated mathematically as "rise overrun". It calculates the rate where the variable y changes when the relevant variable changes, and the further calculation can be defined as follows:
Given Points:
[tex]\bold{( - 4 , - 2 ) \ \ and \ \ ( - 2 , - 10 )}[/tex]
To find:
slope (m)=?
Solution:
[tex]\bold{( - 4 , - 2 ) \ \ and \ \ ( - 2 , - 10 )}[/tex]
[tex]\to \bold{x_1=-4}\\\\ \to \bold{y_1= -2}\\\\\to \bold{x_2= -2}\\\\\to \bold{y_2= -10}\\\\[/tex]
Using formula:
[tex]\bold{slope\ (m) = \frac{( y_2 - y_1 )}{( x_2 - x_1 )}}[/tex]
[tex]\bold{=\frac{-10-(-2)}{-2-(-4)}}\\\\\bold{=\frac{-10+2}{-2+4}}\\\\\bold{=\frac{-8}{2}}\\\\\bold{=-4}\\\\[/tex]
Therefore, the slope is "- 4".
Learn more:
brainly.com/question/14050855
