Question

46 what is the equation of the line in the graph below?

Explanation:

Step1: Identify the y-intercept

The line crosses the y-axis at (0, 3), so the y-intercept ($b$) is 3.

Step2: Calculate the slope

Choose two points, e.g., (0, 3) and (4, 1). The slope ($m$) is $\frac{1 - 3}{4 - 0} = \frac{-2}{4} = -\frac{1}{2}$.

Step3: Write the equation

Using the slope-intercept form $y = mx + b$, substitute $m = -\frac{1}{2}$ and $b = 3$ to get $y = -\frac{1}{2}x + 3$.

Answer:

$y = -\frac{1}{2}x + 3$