Explanation
Correct answer: 30.
The slope of a line can be found by using the slope formula, . It's given that the slope of the line is ; therefore, . According to the table, the points and lie on the line. Substituting the coordinates of these points into the equation gives . Multiplying both sides of this equation by gives , or . Solving for gives . According to the table, the points and also lie on the line. Substituting the coordinates of these points into gives . Solving for gives . Therefore, .
Desmos solution:
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Student discussion
onlywunrania 6 likes
easiest way to do it is on paper lowkey
- slope formula we know slope is y2-y1/x2-x1 so your first step is gonna be taking 2 points and finding their slope to be equal to 2/1 or 2
i did (3,7) and (k,11) which looked like -> 11-7/k-3 =4/? what divided by 4 gives me 4/2 so it can be simplified down to 2/1? 2. so k has to equal 5 because 5-3 equals 2 to put 2 under 4 which'll make that slope of those 2 points equal to 2.
same thing with (k,11) and (12,n) we know now that k equals 5 so plug that in to make -> n-11/12-5=?/7 here, you're finding whats 2 times 7 because then that answer divided by 7 equals the 2 we need so obviously we know that its 14 so now we gotta figure out what n is because 14 has to be numerator so its gonna be n-11=14, add 11 to opposite side, you get that n=25
- now you know n=25 and k=5 so add them
- 25 + 5 = 30 (correct answer)
hstreet2009 0 likes
hunter5 0 likes