The equation of the line passing through (6, 6) and (1, 6) using the point-slope formula is y = 6, as it is a horizontal line with a slope of zero.
To find the equation using the point-slope formula, we need a point on the line and its slope. Given the points (6, 6) and (1, 6), note that the y-coordinates are the same, indicating a horizontal line. The slope of a horizontal line is zero. Using the point-slope formula, which is
where
is a point on the line, and \(m\) is the slope, we substitute the values. Let's choose (6, 6) as our point:
![\[y - 6 = 0 \cdot (x - 6).\]](https://img.qammunity.org/2024/formulas/mathematics/high-school/mtuhoewjcaz5m8qqgvkncgoyw1vjnswsby.png)
Simplifying, we get y - 6 = 0, or y = 6. Therefore, the equation of the horizontal line passing through (6, 6) and (1, 6) is y = 6.
Que. Find the Equation Using Point-Slope Formula (6,6) , (1,6)