Question

Find the x-intercept and y-intercept of the line x + 4y = 4. A) x-intercept = 4, y-intercept = 1

B) x-intercept = 1, y-intercept = 4
C) x-intercept = 4, y-intercept = -1
D) x-intercept = -1, y-intercept = 4

Answer 1

To find the x-intercept of the line x + 4y = 4, set y to 0 and solve for x, resulting in x = 4. To find the y-intercept, set x to 0 and solve for y, resulting in y = 1. The correct answer is A) x-intercept = 4, y-intercept = 1.

Step-by-step explanation:

To find the x-intercept and y-intercept of the line given by the equation x + 4y = 4, we look for the points where the line crosses the x-axis and y-axis respectively.

The y-intercept is found by setting x to 0 and solving for y. Plugging in x = 0 into the equation we get:

0 + 4y = 4

Dividing both sides by 4 yields y = 1.

Similarly, the x-intercept is found by setting y to 0 and solving for x. Plugging in y = 0 into the equation we get:

x + 0 = 4

Thus the x-value is 4.

The x-intercept is 4 and the y-intercept is 1, therefore the correct answer is A) x-intercept = 4, y-intercept = 1.