Introduction for finding intercepts:
In coordinate geometry, the y-intercept is the y-value of the point where the graph of a function or relation intercepts the y-axis of the coordinate system. If the curve in question is given as y = f(x), the y-intercept is found by calculating f(0). Functions which are undefined at xy-intercept. Some 2-dimensional mathematical relationships such as circles, ellipses, and hyperbolas can have more than one y-intercept. Because functions associate x values to no more than one y value as part of their definition, they can have at most one y-intercept. Source – Wikipedia.
The general rules for finding intercepts:
Rule for finding X intercepts:
To find an x-intercept, put y = 0 in the equation.
Your x-intercept will be written as a point (x, 0).
Rule for finding Y intercepts:
To find a y-intercept, x = 0 in the equation. Your y-intercept will be written as a point (0, y).
There are two special types of lines are to be considered these are horizontal lines and vertical lines.
1. A horizontal line is in the form y = k; that is, the y-value is always a constant value.
2. A vertical line is in the form x = h; that is, the x-value is always a constant value.
Examples for finding X and Y intercepts:
Examples for finding X and Y intercepts are given below:
1) find the x Intercept in an equation y = 5x-1.
Solution:
Let the given equation is y = 5x-1.
We have to put y = 0 in the above equation
Y = 5x-1
0 = 5x-1
Add 1 on the both sides
0+1 = 5x-1+1
1 = 5x
1/5 = x
Therefore the x-intercept is (1/5, 0)
Example 2
Find the x intercept for x=2y+3
To find the x - intercept:
Solution:
We have to put y=0 in the above equation
X = 2y+3
X = 2(0) + 3
X = 0 + 3
X = 3
Therefore the x-intercept is (3, 0)
3. To find the y - intercept for y= 5x-1
Solution:
We have to put x = 0 in the above equation
Y = 5x-1
Y = 5(0)-1
Y = 0-1
Y = -1
Therefore the y-intercept is (0,-1).
4)find the y – intercept for x = 2y + 3
Solution:
We have to put x = 0 in the above equation
X = 2y+3
0 = 2y+3
-3 = 2y+3-3
-3 = 2y
Y = -3/2
Therefore the y-intercept is (0,-3/2).
In coordinate geometry, the y-intercept is the y-value of the point where the graph of a function or relation intercepts the y-axis of the coordinate system. If the curve in question is given as y = f(x), the y-intercept is found by calculating f(0). Functions which are undefined at xy-intercept. Some 2-dimensional mathematical relationships such as circles, ellipses, and hyperbolas can have more than one y-intercept. Because functions associate x values to no more than one y value as part of their definition, they can have at most one y-intercept. Source – Wikipedia.
The general rules for finding intercepts:
Rule for finding X intercepts:
To find an x-intercept, put y = 0 in the equation.
Your x-intercept will be written as a point (x, 0).
Rule for finding Y intercepts:
To find a y-intercept, x = 0 in the equation. Your y-intercept will be written as a point (0, y).
There are two special types of lines are to be considered these are horizontal lines and vertical lines.
1. A horizontal line is in the form y = k; that is, the y-value is always a constant value.
2. A vertical line is in the form x = h; that is, the x-value is always a constant value.
Examples for finding X and Y intercepts:
Examples for finding X and Y intercepts are given below:
1) find the x Intercept in an equation y = 5x-1.
Solution:
Let the given equation is y = 5x-1.
We have to put y = 0 in the above equation
Y = 5x-1
0 = 5x-1
Add 1 on the both sides
0+1 = 5x-1+1
1 = 5x
1/5 = x
Therefore the x-intercept is (1/5, 0)
Example 2
Find the x intercept for x=2y+3
To find the x - intercept:
Solution:
We have to put y=0 in the above equation
X = 2y+3
X = 2(0) + 3
X = 0 + 3
X = 3
Therefore the x-intercept is (3, 0)
3. To find the y - intercept for y= 5x-1
Solution:
We have to put x = 0 in the above equation
Y = 5x-1
Y = 5(0)-1
Y = 0-1
Y = -1
Therefore the y-intercept is (0,-1).
4)find the y – intercept for x = 2y + 3
Solution:
We have to put x = 0 in the above equation
X = 2y+3
0 = 2y+3
-3 = 2y+3-3
-3 = 2y
Y = -3/2
Therefore the y-intercept is (0,-3/2).
