Question

Find the slope of a line which passes through the point \[(7,11)\]and \[(9,15)\].

Answer 1

Hint:
If have two points say point\[P({x_1},{y_1})\]and point \[Q({x_2},{y_2})\] and we have to find the slope of the line which passes through the given points then we can use below mentioned formula:
\[(m) = \dfrac{{{y_2} - {y_1}}}{{{x_2} - {x_1}}}\]; where m is the slope of the line.

Complete step by step solution:
Given points\[A = (7,11);B = (9,15)\]
Where, \[{x_1} = 7\]; \[{y_1} = 11\]; \[{x_2} = 9\]; \[{y_2} = 15\]
Let \[(m)\] be the slope of the line.
Using slope formula when two points are given;
\[
   \Rightarrow (m) = \dfrac{{{y_2} - {y_1}}}{{{x_2} - {x_1}}} \\
   \Rightarrow (m) = \dfrac{{15 - 11}}{{9 - 7}} \\
   \Rightarrow (m) = \dfrac{4}{2} = 2 \\
\]

Note:
The slope of a line is a number that measures its “steepness”, usually denoted by the letter (m). Slope is calculated by finding the ratio of the “vertical change” to the “horizontal change” between any two distinct points on the line.