Question

use the clues below to determine which student created each graph. type the name of the student in each white rectangle.
clue #1
calebs graph has a positive slope and a negative y - intercept
clue #2
tierras graph has a negative slope and a positive y - intercept.
clue #3
langs graph has a positive slope and a positive y - intercept.
clue #4
sharayahs graph has a negative slope and a negative y - intercept

Explanation:

Step1: Analyze Caleb's graph

Caleb's graph has a positive slope and a negative \(y -\)intercept. Looking at the first graph (left - most), it has a positive slope (rises from left to right) and crosses the \(y -\)axis below the origin (negative \(y -\)intercept). So, the first graph is Caleb's.

Step2: Analyze Tierra's graph

Tierra's graph has a negative slope (falls from left to right) and a positive \(y -\)intercept. The second graph (from the left) has a negative slope and crosses the \(y -\)axis above the origin (positive \(y -\)intercept). So, the second graph is Tierra's.

Step3: Analyze Lang's graph

Lang's graph has a positive slope and a positive \(y -\)intercept. The third graph (from the left) has a positive slope and crosses the \(y -\)axis above the origin (positive \(y -\)intercept). So, the third graph is Lang's.

Step4: Analyze Sharayah's graph

Sharayah's graph has a negative slope and a negative \(y -\)intercept. The fourth graph (right - most) has a negative slope and crosses the \(y -\)axis below the origin (negative \(y -\)intercept). So, the fourth graph is Sharayah's.

Answer:

Caleb, Tierra, Lang, Sharayah