Explanation:
AI-generated answer
To write an equation for the points (2,3) and (6,3), we can use the slope-intercept form of a linear equation, which is y = mx + b.
1. First, let's find the slope (m) using the formula: m = (y2 - y1) / (x2 - x1).
- (x1, y1) = (2, 3)
- (x2, y2) = (6, 3)
Substituting the values into the formula, we get:
m = (3 - 3) / (6 - 2)
m = 0 / 4
m = 0
The slope (m) is 0.
2. Now, we need to find the y-intercept (b). Since both points have the same y-coordinate of 3, the line is horizontal, and the y-intercept is 3.
3. Substitute the slope and y-intercept values into the slope-intercept form equation, y = mx + b:
y = 0x + 3
Simplifying, we get:
y = 3
Therefore, the equation for the given points (2,3) and (6,3) is y = 3.
This equation represents a horizontal line passing through the y-axis at the y-coordinate 3.