A line through the points (2, -9) and (j, 17) is parallel to the line 2x + 8y = 21. What is the value of j?
Answer:\(-102\)
Explanation:
The slope of the given line is -2/8, which reduces to -1/4.
Using the slope formula between the two given points, we get an equation:
\(\frac{17-(-9)}{j-2}\)\(=-\frac{1}{4}\)
\(-104=j-2\)
\(j=-102\)