Explanation:
Both functions are lines. The equation of a line in slope-intercept form is:
[tex]f(x)=mx+b[/tex]
Where m is the slope and b is the y-intercept.
For function f(x) the slope is 1/2 and the y-intercept is -1.
For function g(x) the slope is 3/2 and the y-intercept is -3.
It is clear that the slope of function g(x) is three times the slope of function f(x). Also, the y-intercept of g(x) is three times the y-intercept of f(x). Therefore the constant k is 3
Answer:
k = 3
