Question

which of the following equations does the graph below represent?
answer
$\boldsymbol{-5x + y = 5}$
$\boldsymbol{5x + y = 5}$
$\boldsymbol{x + y = 5}$
$\boldsymbol{-5x - y = 5}$

Explanation:

Step1: Identify y-intercept

The line crosses the y-axis at $(0,5)$, so $b=5$.

Step2: Calculate slope

Use points $(0,5)$ and $(-1,0)$:
$$m=\frac{0-5}{-1-0}=5$$

Step3: Write slope-intercept form

$$y=5x+5$$

Step4: Rearrange to standard form

$$-5x+y=5$$

Answer:

$\boldsymbol{-5x + y = 5}$