X Intercept
The x intercept for any curve is the value of the x coordinate of the point where the graph cuts the xaxis, or we can say that the xintercept is the value of the x coordinate of a point where the value of y coordinate is equal to zero.
Let us learn more about the xintercept along with its formula and examples.
1.  What is X Intercept? 
2.  X Intercept Formula 
3.  X Intercept on a Graph 
4.  Find Equation of Line Using X Intercept 
5.  FAQs on X Intercept 
What is X Intercept?
In the linear equation, we read that the general form is represented as y = mx + b, where m and b are constants. The xintercept is the point or the coordinate from where the line crosses and that lies at the xaxis of the plane. This means the ycoordinate value of the respective linear equation will always be equal to 0 when it crosses the xaxis. For xintercept, the ycoordinate is zero and for the yintercept, the xcoordinate is zero. the xintercept is also known as horizontal intercept.
X Intercept Formula
There are various formulas and equations associated with intercepts. Below listed are a few general formulas mostly used. All these formulas are derived by substituting y = 0 in the equation and solving for x.
 The general form of a straight line is: ax+by+c=0, where a,b,c are constants. The x intercept of the line can be obtained by putting y = 0, xintercept = −c/a
 The slopeintercept form of a straight line is: y = mx+c, where m is the slope of the line and c is the yintercept. The xintercept of the line can be obtained by putting y=0, xintercept = −c/m
 The pointslope form of a straight line is y−b = m (x−a), where m is the slope of the line, (a,b) is a point on the line. The xintercept of the line can be obtained by putting y = 0, xintercept = (am−b)/m.
 The intercept form of a straight line is x/a + y/b = 1 where (a, 0) is its xintercept and (0, b) is its yintercept.
X Intercept on a Graph
To find the xintercept of a line of the form y = mx+b, substitute y = 0.
Example: To calculate the xintercept of any line for example the line y = 2x−4, put y = 0 in the equation of a line.
Solution:
0 = 2x−4
4 = 2x
2 = x
So, the xintercept of the line y=2x−4 is 2
Similarly, by substituting x = 0, we can find the yintercept
y = 2(0)−4
y= 4
Find Equation of Line Using X Intercept
Let's consider an xintercept example to understand the process behind how to find the xintercept.
John wants to find the equation of a line with the slope equal to 2 and the xintercept equal to 5. Can you help him?
The general equation of a line with slope m is y=mx+c. The xintercept of the line is −5.
Using the formula of the xintercept
x =  c/m
5 = c/2
C = 10
on putting the value of c and m we have,
y = 2x +10
Equation of the line is y=2x+10
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X Intercept Examples

Example 1: Shawn says that the line 2y=3x−6 has xintercept equal to −3 and yintercept equal to 2 while Judy says that the line has xintercept equal to 2 and yintercept equal to −3. Who is right?
Solution:
Given the line 2y=3x−6
xintercept can be calculated by putting y = 0
2×0=3x−6
0=3x−6
6=3x
2=xThe xintercept of the line is 2.
yintercept can be calculated by putting x = 0
2y=3×0−6
2y=0−6
2y=−6
y=−3
The yintercept of the line is 3.Answer: ∴ Judy is right.

Example 2: A line with slope 2 passes through point P(a,1). If the sum of both the intercepts of the line is equal to 6, find the value of a.
Solution:
General equation for a line with a given slope and a point = y−b=m(x−a), where (a,b) is the point on the line.
y1= 2(xa)
xintercept = 1/2 + a
yintercept = 1 + 2a
Sum of intercepts = 1 + 2a + 1/2 + a
= 3a + 3/2
= 9/2 = 3a
= 3/2 = aAnswer: Value of a is 3/2

Example 3: Calculate the xintercept of the parabola y=x^{2}−3x+2.
Solution:
Put y=0 in the equation of a parabola. 0=x^{2}−3x+2.
We can apply regular methods to solve a quadratic equation and calculate the value of xintercepts.
x=2 and x=1 are the two roots of the equation.
It means that the graph is crossing the xaxis at two different points. So, x=2 and x=1 are the two xintercepts of the parabola. Similarly, we can calculate the yintercept by putting x = 0.Answer: (2, 0) and (1, 0)
FAQs on X Intercept
What do you Mean By x Intercept in Math?
The xintercept means a coordinate plotted on the xaxis for any given curve. In other words, it is the value of the x coordinate of the point where the graph cuts the xaxis, or we can say that the xintercept is the value of the x coordinate of a point where the value of y coordinate is equal to zero.
How do you find the X Intercept in y = mx + b?
Here, y = mx + b is the slopeintercept form that can be used to identify the x and yintercepts. The xintercept is found by setting y = 0. On substituting the value of y =0, it gives the xintercept value at which the line crosses the xaxis.
How do you Find x in an Equation?
If the given equation is of the form y = mx + b then we can easily find the value of x by putting the value of y=0 in any equation. The value of x so obtained is the xintercept of the curve.
Can 0 be an xIntercept?
Yes, 0 can be an xintercept for the line y=mx, where m is the slope of the line and the value of xintercept is equal to 0.
How to Find xIntercept of a Parabola?
The xintercept of any curve can be obtained using a similar technique. We just have to put the value of y as 0 in the equation of the curve. The general equation of a parabola is y=ax^{2} +bx+c. We can calculate the xintercept by putting y as 0.
How to Find the XIntercept of any Line?
We know that equation of a line is of the form ax+by+c=0. To find the value of the xintercept of the line we simply need to put the value of the y as 0.
What is the Value Angle Form Between Y and X Intercept of Line?
If the xintercept and the yintercept of a line are equal, then the line forms a 45 degrees angle with the xaxis.
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