Question

Which of the given linear equations best describes the following graph?

• A. $y=-x+3$
• B. $y=5x$
• C. $y=-x$
• D. $y=5x+2$

Answer 1

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

If we observe the graph, the line intersects the y- axis and x-axis at the following two points: (0, 3) and (3, 0)
We can use these two points to find the slope of the linear equation of the line.

Slope $\left(m\right)=\frac{\text{Change in y}}{\text{Change in x}}=\frac{0-3}{3-0}=-\frac{3}{3}=-1$
The point (0, 3) is actually the y-intercept of the line.
$b=3$
Now we can use this to find the slope-intercept form of the equation. $y=mx+b$
$y=-1\times x+3\Rightarrow y=-x+3$
$\to$ Option C is correct.