Question

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

Answer 1

Answer: x-intercept = (-4,0)

And, y-intercept = (0,2)

Explanation:

Here, the given equation of the line is,

- x + 2 y = 4

For x-intercept (where the line intercepts the x-axis), y = 0,

⇒ - x + 2 × 0 = 4

⇒ - x = 4

⇒ x = -4

Hence, the x-intercept of the given line is (-4,0)

Similarly, for y-intercept (Where the line intercepts the y-axis), x = 0,

⇒ 0 + 2 y = 4

⇒ 2 y = 4

⇒ y = 2

Hence, the y-intercept of the given line is (0,2)

Answer 2

The y-intercept and x-intercept of the line are 2 and -4 respectively.

Step-by-step explanation:

Given the equation of the line;

-x + 2y = 4

The y-intercept is the point where the line crosses the y axis and the value of x is 0.

Thus, substituting x = 0 in the equation yields;

0 + 2y = 4

y = 4\2

y = 2

The x-intercept is the point where the line crosses the x axis and the value of y is 0.

-x + 2(0) = 4

x = - 4

Thus, the y and x-intercepts of the given line are 2 and -4 respectively.