If (y=(k-8)x+11) and (y=5x+(k-2)) have equal slopes, what is (k)?

Correct answer: 13

In the form \(y=mx+c\), the coefficient of \(x\) is the slope \(m\). The first line has slope \(k-8\), while the second has slope \(5\). For equal slopes, \(k-8=5\), so \(k=13\). Hence, option D is correct. The term \(k-2\) is a constant term that gives the y-intercept; it does not affect the slope. Exam tip: to identify the slope, look at the coefficient of \(x\).