November 27, 2022

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Finding the Equation of a Line, Given the Slope and a Point

In mathematics, the slope of a straight line refers to a number that measures the “steepness”. It means the slope is the slant of the straight line. The slope of the line is sometimes called the rise over the run. You can calculate the slope of a line by dividing the difference in the y coordinate with the difference in the x coordinate. Thus, a formula can also be used to determine the slope of the straight line. Another way of determining it is to use the slope formula Calculator that displays the slope for the given equation. The slope calculator tool makes the calculation faster, and it displays the slope value in a fraction of seconds.

What is Meant by Slope of a Line?

In mathematics, slope has a similar meaning as in English and it is “steepness”. Except in math, the word slope can also be used for the steepness of lines and curves. It is sometimes also known as gradient, slant, and incline. In the context of daily life examples of slope roofs, slides, and steep mountains are included. Slope can be positive, negative, zero, and it can also be undefined. The type of slope depends on its values and the sign with the value. Well! The calculation for slopes is not as easy as it seems. Don’t stress about it, use the slope formula calculator that uses the slope formula to find the slope of the line.

How to Determine the Slope of a Line?

For the manual slope calculation you need to follow the steps that we are going to mention further in the post. You try the slope formula calculator for it also if you want to calculate the slope of the equation faster. Keep on reading to know the step of calculation for the slope of a straight line. 

Consider the below mentioned example to know the steps of calculation for the slope. The example is as follows.

Determine the slope of a straight line that passes through the points (2, 3) and (8,7).

Calculation Steps:

Step # 1: Identify the values as x1, y1, and x2, y2.

X1 = 2

X2 = 8

Y1 = 3

Y2 = 7


Step # 2: Calculate difference between the points.

𝚫X = X2 – X1

= 8 – 2

= 6

𝚫Y =Y2 – Y1  

= 3 – 7

= – 5

Step 3: Solve the fraction 𝚫Y / 𝚫X.

= 𝚫Y / 𝚫X

= -5/ 6 

= -0.83

Hence, the slope of a straight line is -0.8 and it is also negative in nature. If this method of calculation seems complicated to you, then you can make use of a slope formula calculator and get the results for slope within a few seconds. 

Final Words:

In this article, we have mentioned how you find the slope using a manual procedure. We also mentioned that how you can find the slope m with the ease of free slope finder tool. No doubt the manual procedure is sometimes complicated but by using the slope from two points calculator you do the calculations easily.