This calculator is very easy to use, you just need to follow the below steps.
Result
Data:
x1 = 15, x2 = 12, y1 = 12, y2 = 18
Formula:
Ax + By + C = 0 ---- (i)
Solution:
Now Put all values in equ (i)
X and Y intercept form calculator finds the point of intersection of a line on the cartesian coordinates using the coefficients of the equation of the line. This calculator evaluates the x-intercept and y-intercept of the given equation. This method of the equation of the line finds the values without using the slope of the line.
In mathematics, the intercept is a point where the line crosses the ordinate. The intercept has two types known as X and Y intercepts. The X intercept of a line indicates the point of intersection on the abscissa, whereas the y-intercept indicates the same on the y-axis.
Try our X and Y intercept form calculator to calculate it. Or follow the following steps to calculate it manually.
The following examples will help you to understand the procedure more clearly.
Example 1:
Calculate the X and Y intercepts of the equation 8x + 2y + 4 = 0
Solution:
The given equation is 8x + 2y+ 4 = 0
Step 1: Check the linearity:
The maximum power of the given equation is “1” so it is linear.
As the equation is already arranged so we’ll move toward the calculations.
For x-intercept:
8x + 2y+ 4 = 0
8x + 2y = - 4
Putt y = 0
8x + 2(0) = - 4
8x + 0 = 4
8x = 4
x = 4/8
x = ½ or 0.50
For y-intercept:
8x + 2y+ 4 = 0
Put x = 0,
8 (0) + 2y = 4
0 + 2y = 4
2y = 4
Y = 4/2 or 2
The intercepts are (0.50, 2)
Example 2:
Calculate the X and Y intercepts of the equation if A = 4, B = 9 and C = 1
Solution:
The given points are A = 4, B = 9 and C = 1
The general formula for the equation of a line is:
Ax + By + C = 0
Put the points in the above formula we get:
4x + 9y + 1 = 0
For x-intercept:
4x + 9y = -1
Put y = 0
4x + 9(0) = -1
4x = -1
X = -1/4
For y-intercept:
4x + 9y = -1
Put x = 0
4 (0) + 9y = -1
0 + 9y = -1
9y = -1
Y = -1/9
The intercepts are (-1/4, -1/9)
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