Find the coordinates of the mid-point of x and y intercepts of the line 2y = 4x - 8
Answer Details
To find the x-intercept of the line 2y = 4x - 8, we set y = 0 and solve for x. So, we have:
2(0) = 4x - 8
4x = 8
x = 2
This means the x-intercept is (2, 0).
To find the y-intercept of the line, we set x = 0 and solve for y. So, we have:
2y = 4(0) - 8
2y = -8
y = -4
This means the y-intercept is (0, -4).
The midpoint of two points (x1, y1) and (x2, y2) is:
((x1 + x2)/2, (y1 + y2)/2)
Using this formula, we can find the midpoint of the x and y intercepts:
((2 + 0)/2, (0 + (-4))/2)
= (1, -2)
Therefore, the coordinates of the midpoint of the x and y intercepts of the line 2y = 4x - 8 is (1, -2). Answer option number 2.