which equation represents the graphed function?\no y=-2x + 3\no y=2x + 3\no y=\frac{1}{2}x + 3\no…

Explanation:

Step1: Identify two points on the line.

From the graph, we can identify two points that the line passes through: $(x_1, y_1) = (0, 3)$ and $(x_2, y_2) = (1, 1)$.

Step2: Calculate the slope of the line.

The slope $m$ is calculated using the formula $m = \frac{y_2 - y_1}{x_2 - x_1}$. $$m = \frac{1 - 3}{1 - 0} = \frac{-2}{1} = -2$$

Step3: Identify the y-intercept.

The y-intercept is the point where the line crosses the y-axis. From the graph, the line crosses the y-axis at $(0, 3)$. So, the y-intercept $b = 3$.

Step4: Write the equation in slope-intercept form.

The slope-intercept form of a linear equation is $y = mx + b$. Substituting the calculated slope $m = -2$ and y-intercept $b = 3$: $$y = -2x + 3$$

Answer:

$y = -2x + 3$