A 22-foot ladder is leaning up against the side of a house. The ladder makes an angle of 77o with the ground. How far up the sid
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The right answer is the constant of proportionality
If two variables are related and this relationship is that there is a<em> constant ratio</em> between them, then we are talking about proportionality. There are two types of proportionality.
1) Direct Proportionality:
In a mathematical language this is given by this equation:
where is in fact this constant of proportionality. If
<em>increases,</em>
also <em>increases</em> at the same rate. On the other hand, If
<em> decreases, </em>
also <em>decreases</em> at the same rate.
2) Inverse Proportionality:
In a mathematical language this is given by this equation:
where is also called the constant of proportionality. If
<em>increases,</em>
<em>decreases</em> at the same rate. On the other hand, If
<em>decreases,</em>
<em>increases</em> at the same rate.
When a line passes through the two points , its slope is given by the formula
In this question, a line L passes through the points
So, its slope is given by
When two lines are perpendicular, then the product of their slopes is -1.
Since, the slope of the line L is , so the slope of the line which is perpendicular to the given line L is
as the product of
.