Question

What is the formula to find the slope given two points?

Answer 1

Hint : In this equation, we need to describe about the slope of given two points having the formula is $m = \dfrac{{{y_2} - {y_1}}}{{{x_2} - {x_1}}}$ . We use this formula to find the slope of the line with this formula. The slope is a number which describes the change between two points. It is written as a ratio of the vertical to the horizontal distances between the points and can be found by calculating these distances. To find the slope, you divide the difference of the $y -$ coordinates of two points on a line by the difference of the $x -$ coordinates of those same two points.

Complete step by step solution:
The slope is defined as the ratio of the vertical change between two points, the rise, to the horizontal change between the same two points, the run and we plot a graph by that two points.
In the given problem,
We need to find the formula of the slope given two points.
Let $({x_1},{y_1})$ and $({x_2},{y_2})$ be the points through which the slope of the line passes
The formula for the slope of the line passes through the points of $({x_1},{y_1})$ and $({x_2},{y_2})$ are
$m = \dfrac{{{y_2} - {y_1}}}{{{x_2} - {x_1}}}$
Where,
$m$ is the slope of the line
${x_1},{x_2}$ are the coordinates of $x$
${y_1},{y_2}$ are the coordinates of $y$
Therefore, by using this formula, we can find out the slope of the straight line.
So, the correct answer is “ $m = \dfrac{{{y_2} - {y_1}}}{{{x_2} - {x_1}}}$ ”.

Note : We note that the Slope is the steepness of the line, also commonly known as rise over run. We can calculate slope by dividing the change in the $y -$ value between two points over the change in the $x -$ value. The steepness of a hill is called a slope which is represented by $m$ .We remind the slope formula, $m = \dfrac{{{y_2} - {y_1}}}{{{x_2} - {x_1}}}$ for finding the line with the two points $({x_1},{y_1})$ and $({x_2},{y_2})$ then, we have to plot a graph by that two points.