Question

A line passes through the points (–1, –5) and (4, 5). The point (a, 1) is also on the line.

Answer 1

Answer: $a=2$

Step-by-step explanation:

We need to analize the information provided:

We know that this line passes through the point $(a,1)$ where "a" is the  unknown x-coordinate of that point and 1 is the y-coordinate.

We know that the line also passes through the point (-1, -5) and the point (4, 5).

Then, in order to find the value of "a", we can plot the known points and draw the line (Observe the image attached).

You can observe in the image attached that the point whose y-coordinate is 1 is the point (2,1). Therefore, the value of "a" is:

$a=2$