Point M is the midpoint of segment AB. If AM = 50 – 3x and MB = –20 + 4x, find the value of AM
2 answers:
Answer: The length of AM is 20 units.
Step-by-step explanation: We are given that the point M is the midpoint of segment AB, where
AM = 50 – 3x and MB = –20 + 4x.
We are to find the length of AM.
Since M is the midpoint of the segment AB, so we must have
Therefore, the value of AM is calculated as follows :
Thus, the length of AM is 20 units.
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Answer:
The equation of the linear function is y = 3x + 3
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
- m is the slope
- b is the y-intercept
The rule of the slope is m = , where
- (x1, y1) and (x2, y2) are two points on the line
∵ A line passes through points (1, 6) and (2, 9)
∴ x1 = 1 ad y1 = 6
∴ x2 = 2 and y2 = 9
→ Use the rule of the slope above to find the slope of the line
∵ m = =
= 3
∴ m = 3
→ Substitute the value of m in the form of the equation above
∴ y = 3x + b
→ To find b substitute x and y in the equation by the coordinates of any
point on the line
∵ x = 1 and y = 6
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∴ 6 = 3 + b
→ Subtract 3 from both sides
∵ 6 - 3 = 3 - 3 + b
∴ 3 = b
→ Substitute the value of b in the equation above
∴ y = 3x + 3
∴ The equation of the linear function is y = 3x + 3