Question

The points (j, - 8) and (1, - 2) fall on a line with a slope of - 6. What is the value of j?

Answer 1

Answer:
j = 2

Step-by-step explanation:
Slope of the line can be calculated using the following rule:
slope =
`(y2-y1)/(x2-x1)`

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 =
`(y2-y1)/(x2-x1)`
-6 =
`(-2-(-8))/(1-j)`
-6(1-j) = -2-(-8)
-6 + 6j = 6
6j = 6+6 = 12
j = 12/6
j = 2

Hope this helps :)