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A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The lines for the given statements can be plotted as shown below.
<h3>What is the equation of a line?</h3>A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is y-intercept.
The lines for the given statements can be plotted as shown below.
The coordinate grid can be filled as,
1)
x 0 3 1
y 3 0 2
2.)
x 0 1 -1
y 1 0 2
3.)
x 0 4 -1
y -2 0 2
4.)
x 0 1 1
y -2 0 -2
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The Lowest Common Denominator of 3 and 4 is the denominator that will
simplify mathematical operations such as addition of the fractions.
- The mistake is the LCD of 3 and 4 is 12 rather than 24
Reasons:
The given fractions are;
The Lowest Common Denominator, is given by the Least Common Multiple of the denominators, which is 3 × 4 = 12
Therefore;
The LCD = 12
The equivalent fractions are therefore;
Therefore, the mistake is using a LCD of 24 rather than 12, given that 12 is lower than 24 and therefore is the LCD of 3 and 4.
By having an LCD of 12, we have;
The equivalent fractions with the LCD will be;
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