I need some help plz! I will medal!!

Question

mathmale · Answer

Using the first and last data points, find the slope of the line connecting these two points.   We've been thru this before.  The slope formula (which you should know by heart by now) is$$m=\frac{ y _{2}-y _{1} }{ x _{2}-x _{1} }$$

fandude727 · Answer

nopoe

anonymous · Answer

ok

anonymous · Answer

im doing a test i cahn help after though

anonymous · Answer

@Mehek14

alones · Answer

sofia give meh the problem i'll see if i can help

mathmale · Answer

Now tht you have a tentative slope, choose either the first or the last point.  Substitute the slope, the x-coordinate and the y-coordinate into this "point-slope form" of the equation of a straight line:

$$y-y _{1}=m(x-x _{1})$$    This will give you one version of the equation of the straight line connecting the first and the last points.

mathmale · Answer

that would give you the slope, yes.  thanks for showing your work.

It may help you to make a drawing of the given situation.  I read that "Point C partitions the line connecting the 2 points in such a way that the ratio AC to CB is 2:3.

When you have a situation like this one, ADD together the 2 integers which form the ratio:  Your 2:3    give you   2+3, or 5.
Then:  the length of segment AC is 2/5 of the total distance from point A to point B.
The length of segment CB is 3/5 of that distance.

What do you need to do next to finish the solution of this problem?

mathmale · Answer

I much prefer to give you feedback on the work you share with me that leads you to choose one answer over another.

mathmale · Answer

Sofia, I just do not do business in "It's A, It's B, etc."  Please show all work you've done before you make even a tentative choice of answer.

mathmale · Answer

The distance from A to B is 3 units.
This distance is subdivided into two segments whose lengths have the ratio 2:3.
summing 2 and 3 produces 5.
thus, the length of AC is (2/5)(3).   Why the 3?

mathmale · Answer

thank you for showing your work and explaining your reasoning.  Well done.

mathmale · Answer

Actually, sofia, the problem does not state that the slope is 3.  3 is the distance between the two points, which does not necessarily represent rise / run.

mathmale · Answer

You are to select the fraction (from the four answer choices) which multiplies that distance, 3 to obtain the length of the first line segment.  You have correctly chosen 2/5.  So, you're done.