Question

1. slope (m) =

y-intercept (b) =
equation:

Explanation:

Step1: Determine the slope (m)

A horizontal line has a slope of 0 because the change in y (Δy) is 0. The formula for slope is $m = \frac{\Delta y}{\Delta x}$, and for a horizontal line, Δy = 0, so $m = \frac{0}{\Delta x} = 0$.

Step2: Determine the y-intercept (b)

The y-intercept is the point where the line crosses the y-axis. The line in the graph crosses the y-axis at (0, 3), so the y-intercept (b) is 3.

Step3: Write the equation

The slope-intercept form of a line is $y = mx + b$. Substituting m = 0 and b = 3, we get $y = 0x + 3$, which simplifies to $y = 3$.

Answer:

slope (m) = $\boldsymbol{0}$
y-intercept (b) = $\boldsymbol{3}$
equation: $\boldsymbol{y = 3}$