To find the graph that is parallel to the line given by y = 3x − 5, we need to identify which option has the same slope of 3.
Given Equation: Slope m = 3
Analysis of Options:
A. Slope calculation using points (−2, −4) and (0, 2):
This slope matches 3, so this graph is parallel.
B. Slope calculation using points (−1, 2) and (0, −1):
This slope does not match 3, so this graph is not parallel.
C. Slope calculation using points (−6, 5) and (0, 7):