The midpoint of the segment of the line y = 4x + 3 which lies between the x-ax 1 is and the y-ax 1 is
Answer Details
To find the midpoint of a line segment, we need to find the average of the endpoints.
The x-intercept of the line y = 4x + 3 is found by setting y = 0 and solving for x:
0 = 4x + 3
x = -3/4
So the x-coordinate of the midpoint is the average of -3/4 and 0:
x = (-3/4 + 0)/2 = -3/8
To find the y-coordinate of the midpoint, we plug in x = -3/8 to the equation of the line:
y = 4(-3/8) + 3 = -3/2 + 3 = 3/2
So the midpoint is (-3/8, 3/2).
Therefore, the answer is (-3/8, 3/2).