Question

Which of the following linear equations correctly represents the given graph?

• A. $y=-x+3$
• B. $y=3x+3$
• C. $y=x+3$
• D. $y=-3x+3$

Answer 1

The correct option is A $y=-x+3$


The ordered pairs in the given graph are $(0,3),(1,2),(2,1),$ and $(3,0)$.

$\text{Slope}=\frac{\text{change in y-coordinate}}{\text{change in x-coordinate}}=\frac{2-3}{1-0}=-1$

Observing the graph, we can say that $y-$intercept $=3$

The equation of line will follow the general form $y=mx+b$
$\Rightarrow y=-1\times x+3$
$\Rightarrow y=-x+3$