Find the slopes of the lines passing through the given points T (0, -3) , S (0, 4)
2. Find the slopes of the lines passing through the given points T (0, -3) , S (0, 4)
T (0, –3) , S (0, 4)
Slope = \[\frac{y_2 - y_1}{x_2 - x_1} = \frac{4 - \left( - 3 \right)}{0 - 0} = \frac{7}{0} = \text { slope not defined }\]
Explanation:-
The given points are T(0,-3) and S(0,4). Here, the x-coordinates of both points are same i.e., x = 0. Therefore, the denominator of the slope formula becomes zero.
The slope formula is given by:
slope = [\frac{y_2 – y_1}{x_2 – x_1}]
Here, x1 = 0, x2 = 0, y1 = -3 and y2 = 4.
Substituting these values in the slope formula, we get:
slope = [\frac{4 – \left( – 3 \right)}{0 – 0}]
slope = [\frac{7}{0}]
We get the value of slope as undefined because we cannot divide any number by zero. Therefore, the slope of the line passing through the points T and S is undefined.
This means that the line passing through the points T and S is a vertical line which is parallel to the y-axis.
Chapter 5. Co-ordinate Geometry – Practice Set 5.3 (Page 121)