How to find the x and y-intercepts of an equation?

The x-intercept of a line is that point where it cuts the x-axis of the graph, and the y-intercept of a line is that point where it cuts the y-axis of the graph.

Answer: To find the x-intercept of an equation, we substitute y = 0 in the equation and find the corresponding value of x, and to find the y-intercept of an equation we substitute x = 0 in the equation and find the corresponding value of y. 

Let's understand the problem with the help of an example.

Explanation:

Let us consider an equation 2x + 4y = 8.

Let's find the x and y intercepts of 2x + 4y = 8.

To find the x-intercept, put y = 0.

Hence, 2x + 4(0) = 8; we get x = 4.

Therefore, the x-intercept of the line represented by 2x + 4y = 8 is 4.

To find the y-intercept, put x = 0.

Hence, 2(0) + 4y = 8; we get y = 2.

Therefore, the y-intercept of the line represented by 2x + 4y = 8 is 2.

The x and y-intercepts of the line are given in the image above.

Hence, to find the x-intercept of a line, we substitute y = 0 in the equation and find the corresponding value of x, and to find the y-intercept of a line, we substitute x = 0 in the equation and find the corresponding value of y.