Answer:
j = -15
Step-by-step explanation:
Given that,
A line that includes the points (-9,-5) and (-10, j) has a slope of -10.
The slope of a line for which two points are given is :
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\\\-10=\dfrac{j-(-5)}{-10-(-9)}\\\\10=\dfrac{j+5}{-10+9}\\\\10=\dfrac{j+5}{-1}\\\\-10=j+5\\\\j=-10-5\\\\j=-15[/tex]
So, the value of j is equal to -15.