Question

9) State the coordinates of the endpoints of a line segment that intersects the y-axis.

Answer 1

Answer:

(5,4) and (3,4)

Step-by-step explanation:

A line segment has 2 end points which can be denoted as:

$(x_1,y_1)$ and $(x_2,y_2)$

When this line segment intersects at y.

This means that the coordinate on the y axis is the same at both end points

i.e.

$y_1 = y_2 = y$

$(x_1,y_1)$ and $(x_2,y_2)$ becomes $(x_1,y)$ and $(x_2,y)$

x1 and x2 can be any value but the y value must remain unchanged

Using the above analysis, a possible coordinate is:

$(5,4)$ and $(3,4)$

Note that there are as many answers as possible as long as the coordinate pair satisfy is of the form $(x_1,y)$ and $(x_2,y)$

Take for instance, another possible pair is:

$(1,-3)$ and $(0,-3)$