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.