Question

7
a linear function is graphed to the left.
which of the following equations represents the function.
\\(\circ\\) \\(y=2x - 4\\)
\\(\circ\\) \\(y=2x + 4\\)
\\(\circ\\) \\(y=x - 4\\)
\\(\circ\\) \\(y = x - 4\\)

Explanation:

Step1: Identify y-intercept

The line crosses the y-axis at $(0, -4)$, so $b=-4$.

Step2: Calculate slope

Use two points $(0, -4)$ and $(2, 0)$. Slope $m=\frac{0-(-4)}{2-0}=\frac{4}{2}=2$.

Step3: Write linear equation

Substitute $m=2$, $b=-4$ into $y=mx+b$.
$y=2x-4$

Answer:

A. $y=2x-4$