Math
Y Intercept & X Intercept Formula  Slope Intercept Form & Equation
Table of Contents
Slope Intercept Form Formula
For the equation, “y = mx + b”, m is the slope of the line that is multiplied by x and b is the yintercept or we can say the point where the line will cross the vertical yaxis. This is a sensible equation that can also be named as the slopeintercept form. Designing a graph from this equation is easy especially when values are simpler. In this post, we will discuss almost every aspect of the graph and formulas for x and yintercepts. Also, you would know the realworld application of slope intercepts and how to model the equations in practical terms.
\[\large y=mx+b \]
The values used in formula are as follows:
m is the slope of the line.
b is the yintercept of the line.
This is not possible to understand graphs your own. You need a teacher who can guide you and lots of practice to reach the conclusion. You should know how graphs are designed when the value of xvariable increases and the value of yvariable increases over time. The concept can be more useful when you consider the same for the realworld problems.
y intercept formula
The graphical representation of x and y is quite simpler. The xintercept is the point where the graph crosses the xaxis. The yintercept is the point where the graph crosses the yaxis. The xintercept of a line will give you an idea of the point that crosses the Xaxis. In the same way, yintercepts are the values where the line crosses the yaxis.
A slope is a linear equation that works with changes over a particular time span. The equations would help you to know how something can be defined once changes happen. Take an example of population growth, how will it increase through a fixed amount over the year. For every year passes, the population will increase based on fixed time intervals. So, you can understand the rate of increase in population with the help of graph linear equations.
The Y Intercept Formula of a line Ax + By = C is,
\[\large y=\frac{C}{B}\]
If, the Y Intercept Formula of a line in the slope intercept form y = mx + c is,
\[\large y=c\]
Where,
m = is the slope of the line.
c = is the intercept of the line.
If, the Y Intercept Formula of a line in the point slope form y – b = m(x – a) is,
\[\large y=\; am+b\]
Where,
m is the slope of the line.
(a,b) is a point on the line.
Once you have understood the concept of the slope then we will discuss the intercept definition ahead. When the value of x = 0 then the value of y will become the yintercept. In reference to the realworld problems, yintercept value is the starting value of an equation. Once you will understand the slope and the intercept, this would be easy for you to work on mathematics problems too.
xintercepts Formula
Till the time, we have discussed the basics of x and yintercept formulas that can be used to calculate the values at any given point over time. You just have to put the values and calculate complex math problem in minutes.
The XIntercept Formula of a line Ax + By = C is,
\[\large x=\frac{C}{A}\]
The XIntercept Formula of a line in the slopeintercept form y = mx + c is,
\[\large x=\frac{c}{m}\]
Where,
m is the slope of the line.
c is the intercept of the line.
The XIntercept Formula of a line in the pointslope form y – b = m(x – a) is,
\[\large x=\frac{b}{m}+a\]
Where,
m is the slope of the line.
(a,b) is a point on the line.
X and YIntercept Formula
As discussed earlier, xintercept is the value where the line crosses the xaxis.
\[\ xintercept = (x, 0)\]
In the same way, yintercept is the value where the line crosses the yaxis.
\[\ yintercept = (0, y)\]
In the beginning, when sociologists started keeping track of population growth, they faced a lot of issues in data management. The best solution was a graphical representation of data where growth and decay can be shown in terms of equations and graphs and they are easy to understand as well.

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