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 $$m={\displaystyle \frac{y_2-y_1}{x_2-x_1}}$$ . 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
 $$m={\displaystyle \frac{y_2-y_1}{x_2-x_1}}$$
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 “ $$m={\displaystyle \frac{y_2-y_1}{x_2-x_1}}$$ ”.

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, $$m={\displaystyle \frac{y_2-y_1}{x_2-x_1}}$$ 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.