Answer:
To find the equation in slope-intercept form (y = mx + b) using the points (2,6) and (-4,6), we first need to determine the slope (m). The formula for slope is (y2 - y1) / (x2 - x1).
Let's use the points (2,6) and (-4,6):
\[ m = \frac{6 - 6}{-4 - 2} \]
\[ m = \frac{0}{-6} = 0 \]
The slope is 0. Now, we can use the slope-intercept form and plug in one of the points to solve for the y-intercept (b). Let's use (2,6):
\[ 6 = 0 \cdot 2 + b \]
\[ b = 6 \]
So, the equation in slope-intercept form is \( y = 0 \cdot x + 6 \), which simplifies to \( y = 6 \).