15.4k views
3 votes
you want to plot the collinear points A(-2,3), A'(x,y), and A"(3,7) on the same coordinate plane. Find the values of x and y.

User Royatirek
by
7.9k points

1 Answer

1 vote

Answer:


A'(2,(31)/(5))

Explanation:

Remember that three points are collinears if they stay in the same line.

To find the line that pass through A(-2,3) and A''(3,7), we find first the slope of the line and then the y-intercept.

The slope of the line is


m=(7-3)/(3-(-2))=(4)/(5)

The y-intercept of the line is


7=(4)/(5)*3+b\\b=(23)/(5)

Then the equation of the line is


y=(4)/(5)x+(23)/(5)

Since we want that the point A'(x,y) stay in the line, then we need to choose a value for x and replace in the equation found.

If we take x=2


y=(4)/(5)*2+(23)/(5)=(31)/(5)

Then the points
A(-2,3), A'(2, (31)/(5)), A''(3,7) are collinear.

User Yoelp
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories