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

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.