Question

Determine the x- and y-intercepts of 2x + y = 4 and graph the line.

x-intercept: (0, 4)
y-intercept: (2,0)
x-intercept: (0, 2)

Answer 1

The x-intercept of the given equation is (2, 0), and the y-intercept is (0, 4).

Step-by-step explanation:

The x-intercept is the point where the line crosses the x-axis. To find the x-intercept, we set y = 0 and solve for x. In the equation 2x + y = 4, when y = 0, we have 2x + 0 = 4, which simplifies to 2x = 4. Dividing both sides by 2 gives x = 2. So the x-intercept is (2, 0).

The y-intercept is the point where the line crosses the y-axis. To find the y-intercept, we set x = 0 and solve for y. In the equation 2x + y = 4, when x = 0, we have 2(0) + y = 4, which simplifies to y = 4. So the y-intercept is (0, 4).

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