Question

The table and graph describe two linear functions.



Function 1



x y
−
2
8
−
1
5
0
2
1
−
1
2
−
4


image.png






Which of the following statements is true?


Function 1 has a greater slope and a greater y-intercept than Function 2.


Function 1 has a greater slope but a lesser y-intercept than Function 2.


Function 2 has a greater slope and a greater y-intercept than Function 1.


Function 2 has a greater slope but a lesser y-intercept than Function 1.

Answer 1

I can’t see the graph you attached. From the table I can compute Function 1:

- slope m1 = (5−8)/(−1−(−2)) = −3 (every +1 in x gives −3 in y)
- y-intercept b1 = y(0) = 2

To decide which statement is true I need the slope and y-intercept of Function 2 from the graph. Please either

- upload a clear image of the graph, or
- tell me two exact points on Function 2 (for example (0,4) and (2,0)), or at least the y-intercept and one other point.

If you give two points I will compute m2 and b2 and then compare m1 = −3 and b1 = 2 to determine which choice is correct. If you’d like, here is how you can read them off the graph:

- Pick two grid points on the line and use slope = (y2 − y1) / (x2 − x1).
- Read the y-value where the line crosses x = 0 to get the y-intercept.

Send the needed information and I’ll finish the comparison.