Question

The equation (5x + 4y = 20) represents a linear function in two variables. Identify the x-intercept, y-intercept, and graph of this linear function.

A. The x-intercept is (4, 0). The y-intercept is (0, 5).
B. The x-intercept is (4, 0). The y-intercept is (0, 5).
C. The x-intercept is (5, 0). The y-intercept is (0, 4).
D. The x-intercept is (5, 0). The y-intercept is (0, 4).

Answer 1

The x-intercept is (4, 0). The y-intercept is (0, 5). The graph of this linear function is a straight line that passes through the x-intercept (4, 0) and the y-intercept (0, 5).

Step-by-step explanation:

The equation (5x + 4y = 20) represents a linear function in two variables. To find the x-intercept, we set y = 0 and solve the equation for x. Plugging in y = 0, we get 5x = 20, which simplifies to x = 4. Therefore, the x-intercept is (4, 0).

To find the y-intercept, we set x = 0 and solve the equation for y. Plugging in x = 0, we get 4y = 20, which simplifies to y = 5. Therefore, the y-intercept is (0, 5).

The graph of this linear function is a straight line that passes through the x-intercept (4, 0) and the y-intercept (0, 5).