find the slope of the linethat passes through the given points (4,6) and (4,4)
(4-6)/(4-4) = -2/0
Not defined. You will note that since the x-coordinate is the same for both points, the line is vertical. The slope of a vertical line is not defined.
To find the slope of a line passing through two given points, you can use the formula:
slope = (y2 - y1) / (x2 - x1)
Let's use this formula to find the slope of the line passing through (4,6) and (4,4).
Given points:
Point 1: (x1, y1) = (4, 6)
Point 2: (x2, y2) = (4, 4)
Now substitute the values into the formula:
slope = (4 - 6) / (4 - 4)
Notice that both the x-values are the same (4), which means the line is vertical. When the line is vertical, the slope is undefined because division by zero is not possible.
Therefore, the slope of the line passing through (4,6) and (4,4) is undefined.