A line that passes through (–1, –4) and (3, k) has a slope = k. What is the value of k?  Choose the correct answer.
A) 3/4
B) 1
C) 4/3
D) 2
E) 7/2
This is a considerably more difficult one, which will involve some algebra. Let’s say that the “first” point is (–1, –4) and the “second,” (3, k). The rise = k + 4, which involves a variable. The run = 3 – (–1) = 4. There the slope is (k + 4)/4, and we can set this equal to k and solve for k.   {{k + 4}/4} = k   k + 4= 
<gadget id="calculator">+ 4</gadget>
<output>4</output>
4k   4= 3k   k = 4/3   Answer = 4/3
<result>C</result>
A line that passes through (–1, –4) and (3, k) has a slope = k. What is the value of k?