4. Because the triangles are congruent, the area of the entire
2 answers:
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Answer:
y-coordinate = 0
Step-by-step explanation:
Consider the below diagram attached with this question.
Section formula:
If a point divides a line segment in m:n whose end points are and
, then the coordinates of that point are
From the below graph it is clear that the coordinates of end points are J(1,-10) and K(7,2). A point divides the line JK is 5:1.
Using section formula, the coordinates of that point are
Therefore, the y-coordinate of the point that divides the directed line segment from J to k into a ratio of 5:1 is 0.
Answer:
The equation of the line is
Step-by-step explanation:
The general for of a line is:
(1)
where:
is the slope of the line and
is the intercept with the axis of the dependent variable,
in this case.
In order to obtain the value of the slope () we can use the corresponding slope formula:
(2)
where and
are the corresponding coordinates of the given points. In this case:
Substituting these values in equation (2) we obtain:
Hence, the line equation is now:
(3)
Now to obtain the value of you can follow two options:
- You can substitute one of your points,
or
, in equation (3). In this way, you will obtain an equation where the variable is
Note that for this question, it is easier to select point A because of having the independent variable equals to zero . Hence, substituting point A in equation (3):
Therefore, the line equation is:
The second option to find is to think of the meaning of the <em>intercept</em>. The <em>intercept </em>of a line is defined as the point in which the line crosses the axis of the dependent variable, which also means that the value of the independent variable for this point is zero. From this, we could have automatically said that
is equal to
.
See the attachment for a plot of the line.
