Respuesta :
Answer: x-intercept = (-4,0)
And, y-intercept = (0,2)
Step-by-step 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:
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.