Answer:
-5
Step-by-step explanation:
The slope formula is (y_2 - y_1) / (x_2 - x_1)
Lets plug in our points
(-1 - 9)/(-3- -5 )
-10/ (2) (note that 2 minus signs become a positive)
-5 = x
Answer:
-5
Step-by-step explanation:
To find the slope of the line passing through points (-5, 9) and (-3, -1), we can use the slope formula:
[tex]\boxed{\begin{array}{l}\underline{\textsf{Slope formula}}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\textsf{where:}\\\phantom{w}\bullet\;\;m\; \textsf{is the slope.}\\\phantom{w}\bullet\;\;(x_1,y_1)\;\textsf{and}\;(x_2,y_2)\;\textsf{are two points on the line.}\end{array}}[/tex]
In this case:
Substitute the coordinates into the slope formula:
[tex]m=\dfrac{-1-9}{-3-(-5)}[/tex]
[tex]m=\dfrac{-10}{-3+5}[/tex]
[tex]m=\dfrac{-10}{2}[/tex]
[tex]m=-5[/tex]
Therefore, the slope of the line passing through points (-5, 9) and (-3, -1) is:
[tex]\huge\boxed{\boxed{ -5}}[/tex]
