Question

which equation matches the graph?
options:
y= -3x - 5
y= 3x + 5
y= 3x + 5
y= 3x - 5

Explanation:

Step1: Identify slope direction

The graph has a positive slope (line rises from left to right), so the coefficient of $x$ must be positive. Eliminate $y=-3x-5$.

Step2: Find y-intercept

The line crosses the y-axis at a negative value. The slope-intercept form is $y=mx+b$, where $b$ is the y-intercept. Among remaining options, only $y=3x-5$ has a negative $b$ ($b=-5$).

Answer:

D. $y=3x - 5$