To find x and y-intercept of a line, we have two ways.
Method 1 :
(i) To find x-intercept, apply y = 0. Then write the coordinate as (x, 0).
(ii) To find y-intercept, apply x = 0. Then write the coordinate as (0, y).
Method 2 :
Convert the equation from standard form to intercept form.
(x/a) + (y/b) = 1
a = x-intercept and b = y-intercept
Find the x and y intercept of the line with the given equation.
Problem 1 :
x - y = 4
Solution :
x-intercept : Put y = 0 x - 0 = 4 x = 4 |
y-intercept : Put x = 0 0 - y = 4 y = -4 |
To find x
and y intercept we have to compare given equation with intercept form
(x/a) + (y/b) = 1
x - y = 4
Dividing by 4 on both sides,
x/4 - y/4 = 4/4
(x/4) - (y/4) = 1
x -intercept (a) = 4
y -intercept (b) = - 4
Problem 2 :
x + 5y = -15
Solution :
To find x and y intercept we have to compare given equation with intercept form
(x/a) + (y/b) = 1
x + 5y = -15
Dividing by -15 on both sides,
(x/-15) + (5y/-15) = -15/-15
(x/-15) + (y/-3) = 1
x -intercept (a) = - 15
y -intercept (b) = - 3
Problem 3 :
3x - 4y = -12
Solution :
To find x and y intercept we have to compare given equation with intercept form
(x/a) + (y/b) = 1
3x - 4y = -12
Dividing by -12 on both sides,
(3x/-12) - (4y/-12) = -12/-12
(x/-4) - (y/-3) = 1
x -intercept (a) = - 4
y -intercept (b) = 3
Problem 4 :
2x - y = 10
Solution :
To find x and y intercept we have to compare given equation with intercept form
(x/a) + (y/b) = 1
2x - y = 10
Dividing by 10 on both sides,
(2x/10) - (y/10) = 10/10
(x/5) - (y/10) = 1
x -intercept (a) = 5
y -intercept (b) = - 10
Problem 5 :
4x - 5y = 20
Solution :
To find x and y intercept we have to compare given equation with intercept form
(x/a) + (y/b) = 1
4x - 5y = 20
Dividing by 20 on both sides,
(4x/20) - (5y/20) = 20/20
(x/5) - (y/4) = 1
x -intercept (a) = 5
y -intercept (b) = - 4
Problem 6 :
-6x + 8y = -36
Solution :
To find x and y intercept we have to compare given equation with intercept form
(x/a) + (y/b) = 1
-6x + 8y = -36
Dividing by -36 on both sides,
(-6x/-36) + (8y/-36) = -36/-36
(x/6) + (2y/-9) = 1
x -intercept (a) = 6
y -intercept (b) = - 9/2
May 21, 24 08:51 PM
May 21, 24 08:51 AM
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