Question

Annie has created a graph of 3x+y=10
3
𝑥
+
𝑦
=
10
on the coordinate plane. Did Annie create her graph correctly?

Option 1: No; Annie's y
𝑦
-intercept is correct but her slope is incorrect.

Option 2: No; Annie's slope is correct but her y
𝑦
-intercept is incorrect.

Option 3: Yes; Annie's graph is correct.

Enter "1" for Option 1, "2" for Option 2, or "3" for Option 3.
(0, 10) (1, 7)

Answer 1

3

Both points satisfy 3x + y = 10: for (0,10) y = 10, and for (1,7) 3(1)+7 = 10. The slope is -3 and the y-intercept is 10, so the graph is correct.