Let x be the number of spelling questions and y the number of vocabulary questions. We have two equations relating the two:
x + y = 11
5x + 10y = 100
From here, we can write x = 11 - y, so:
5(11 - y) + 10y = 100
=> 5y + 55 = 100
=> 5y = 100 - 55
=> 5y = 45
=> y = 9
=> x = 2
So, there are two spelling questions and nine vocabulary questions. I can only assume that this is the desired final answer, but I'm not quite sure how you'd go about setting up a slope-intercept form for the number of questions on the test. Depending on what you're looking for, it could be one of three things:
-
y = -x + 11
-
y = -2x + 10
-
y = 11
TECHNICALLY all of those are slope-intercept functions, but they all describe different things. The first describes the number of vocabulary questions vs. the number of spelling questions. The second describes the same thing, but uses their point values. The third describes the total number of questions on the test. So, based on the question given, (3) would be my sarcastic answer.