In the figure, lines l, m, and n are parallel. A classmate says you can use the corollary to the side-splitter theorem to find x
. explain your classmate's error
1 answer:
The issue with using the side-splitter to solve for x is that the side-splitter theorem is used to find lengths of the sides being split by parallel lines. In this case, the x is on a line that is parallel and thus could not be solved for using this theorem.
If we created a triangle where the tops of the non-parallel lines connected, we would be able to compare the following and solve:
However, none of this would help us solve for x using this theorem.
If we created a triangle where the tops of the non-parallel lines connected, we would be able to compare the following and solve:
However, none of this would help us solve for x using this theorem.
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To solve this problem you must apply the proccedure shown below:
1- You have that the equation of the line is:
Where is the slope and
is the y-intercept.
2- Based on the information given in the problem, the lines and
are parallel, which means that both have the same slope. Therefore, you can calculate the slope of
:
3- Use the coordinates of the point to calculate the y-intercept:
4. Solve for :
5. The equation of the line is:
The answer is:
Answer:
The equation of the line passing through the points (-7,25) and (-4,13) in slope-intercept form is
Step-by-step explanation:
Equation of line passing through the points (-7,25) and (-4,13) in slope-intercept form.
The general equation of slope-intercept form is:
First we need to find slope
The formula used for finding slope is:
We are given:
Putting values in formula and finding slope
So, slope m= -4
Now finding y-intercept
Using slope m=-4 and point (-7,25) we can find y-intercept
So, y-intercept b =-3
Now, the equation of required line having slope m=-4 and y-intercept b=-3 is:
So, the equation of the line passing through the points (-7,25) and (-4,13) in slope-intercept form is