Algebra-2

To determine which graph represents y = −2x + 5, analyze the line's slope and y-intercept.

Equation Analysis:

Slope (m): -2 (indicating the line is decreasing)

Y-intercept (b): 5

Examine Each Option

A: Decreasing line, passes through (−4,3) and (0,−5).



Y-intercept Check: (0,−5) gives y-intercept -5, not 5.

Result: Correct slope but incorrect y-intercept.

B: Decreasing line, passes through (0,5) and (2,1).



Y-intercept Check: (0,5) matches y-intercept 5.

Result: Correct slope and y-intercept.

C: Increasing line, passes through (−3,−1) and (0,5).