Question

Identify the x- and y- intercepts of this equation. 5x − 4y = 20

Answer 1

The x – intercept is 4 and y – intercept is – 5 for the given equation 5x - 4y = 20

Solution:

Given that , a line equation is 5x – 4y = 20

We have to find y – intercept and x – intercept of the above line equation.

Now, we know that, x – intercept is value of x when line meets x – axis.

Here, y becomes 0 when line meets x – axis, so put y = 0 in equation

5x - 4(0) = 20

5x = 20

x = 4

So, x – intercept is 4.

Now, we know that, y – intercept is value of y when line meets y – axis.

Here, x becomes 0 when line meets y – axis, so put x = 0 in equation

5(0) – 4y = 20

- 4y = 20

y = -5

So, y – intercept is - 5

Hence, the x – intercept is 4 and y – intercept is – 5 for the given equation.