x and y intercept solver

Introduction to x and y intercept solver:

X-intercept:
The x-intercept is the x-value of the point where the graph of a function or relation intersect the x-axis of the coordinate system.

Y-intercept:
The y-intercept is the y-value of the point where the graph of a function or relation intersect  the y-axis of the coordinate system. (Source: Wikipedia)
In this article we are going to see the problems on  x and y intercept by using the x and y intercept solver.

Methods to find x and y intercept using solver:

X-intercept solver:

• We can find the x intercept of the line by substitute y = 0 in the line equation.
• The x intercept can be represented as (x,0)

Y-intercept solver:

• We can find the y intercept of the line by substitute x = 0 in the line equation.
• The y intercept can be represented as (y,0)

Problems on x and y intercept using intercept solver :

Problem 1:
Find the x intercept of the line 5x-3y+15 = 0

Solution:
Given, the line 5x-3y+15 = 0
To find the x intercept we need to substitute y = 0 in the equation of line.
5x-3y+15 = 0
Substitute y = 0 in the above line equation,
5x – 3(0) + 15 =0
5x – 0 + 15 = 0
5x + 15 = 0
Subtract 15 on both sides,
5x - 15 - 15 = 0 - 15
5 x = - 15
Divide by 5 on both sides,
x = - 3
The x intercept of the line is (-3,0)

Problem 2:
Find the x-intercept of the line y = x -12

Solution:

Given, the line y =x -12
To find the x intercept we need to substitute y = 0 in the equation of line.
y = x -12
Substitute y = 0 in the above line equation,
y =x -12
0 = x -12
Add 12 on both sides,
12 = x -12 + 12
12 = x
x = 12
The x intercept of the line is ( 12 , 0)

Problem 3:
Find the y-intercept of the line 3y =6x -15

Solution:
Given, the line 3y =6x -15
To find the y intercept we need to substitute x = 0 in the equation of line.
3y =6x -15
Substitute x = 0 in the above line equation,
3y =6(0) -15
3y = - 15
Divide by 3 on both sides,
y = -15/3
y =-5
The y intercept of the line is ( 0 , -5)

Problem 4:
Find the y-intercept of the line y = 2x - 10

Solution:
Given, the line y = 2x - 10
To find the y intercept we need to substitute x = 0 in the equation of line.
y = 2x - 10
Substitute x = 0 in the above line equation,
y =2(0) -10
y = - 10
The y intercept of the line is ( 0 , -10)