The X and Y intercepts of the following equations are:
(a) Y = 3X - 1 : intercepts are [ 1/3 , -1 ]
(b) Y = X - 2 : intercepts are [ 2 , -2 ]
To find the x-intercept we put y = 0 and solve the equation for x. This is because when y = 0 the line crosses the x - axis. To find y-intercept: put x = 0 and solve for y. See the attached figure for understanding the intercepts.
For example: Find the X and Y intercepts of the equation: X - Y = 5.
for X intercept put Y = 0, we get X = 5
for Y intercept put X = 0, we get Y = -5
Here, we have (a) equation Y = 3X - 1
For X intercept put Y = 0, we get X = 1/3
For Y intercept put X = 0, we get Y = -1
so, the X and Y intercepts of the equation Y = 3X - 1 are [ 1/3, -1 ]
now, we have (b) equation Y = X - 2
For X intercept put Y = 0, we get X = 2
For Y intercept put X = 0, we get Y = -2
so, the X and Y intercepts of the equation Y = X - 2 are [ 2 , -2 ]
Hence, The X and Y intercepts of the following equations are:
(a) Y = 3X - 1 : intercepts are [ 1/3 , -1 ]
(b) Y = X - 2 : intercepts are [ 2 , -2 ]
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Question: Find the X and Y intercept of the following equation:
(a) Y = 3X - 1
(b) Y = X - 2
