Answer:
j = 2
Explanation:
Slope of the line can be calculated using the following rule:
slope = [tex] \frac{y2-y1}{x2-x1} [/tex]
We are given:
slope = -6
point (j,-8) representing (x1,y1)
point (1,-2) representing (x2,y2)
Substitute with the givens in the above equation and solve for j as follows:
slope = [tex] \frac{y2-y1}{x2-x1} [/tex]
-6 = [tex] \frac{-2-(-8)}{1-j} [/tex]
-6(1-j) = -2-(-8)
-6 + 6j = 6
6j = 6+6 = 12
j = 12/6
j = 2
Hope this helps :)
