Explanation:
<em><u>The formula y - y1 = m(x - x1) is usually described as the 'point-slope form' for the equation of a line. It is useful because if you know one point on a certain line and the slope of that certain line, then you can define the line with this type of formula and, thus, find all the other points on that certain line.</u></em>
Answer:the youngest child is 7 years old
Step-by-step explanation:
Let x represent the age of the youngest child.
Let y represent the age of the middle child.
Let z represent the age of the oldest child.
The sum of the ages of three children is 32. It means that
x + y + z = 32 - - - - - - - - - - - 1
The ages of the oldest is twice the age of the youngest. It means that
x = 2z
z = x/2
The two older children differ by 3 years. It means that
y = x - 3
Substituting z = x/2 and y = x - 3 into equation 1, it becomes
x + x - 3 + x/2 = 32
2x - 3 + x/2 = 32
Crossmultiplying,
4x - 6 + x = 64
5x = 64 + 6 = 70
x = 70/5 = 14
z = x/2 = 14/2
z = 7
Answer:
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Step-by-step explanation: