Question

Which of the following represents an equation of a line that passes through (2, 9) and (1, 4)?

5x+y=-19
5x+y=9
-5x+y=1
-5x+y=-1

Answer 1

Plug both pairs of values in. If they both work, that is your equation.

Answer 2

So lets take the first equation and plug in (2,9)
5(2)+(9)=19
So voila the first point makes sense. Lets try (1,4)
5(1)+4=9 not 19 so therefore this equation doesn't pass btwn both points

Answer 3

The equation passes through the first point but not the second.
Now looking at the second equation I can see that it wont pass through the first point but only the second

Answer 4

Now lets look at the last equation -5x+y=-1
Lets plug in (2,9)
-5(2)+9=-1
Lets plug in the second point (1,4)
-5(1)+4=-1
There we see that the last equation passes those 2 points on the graph

Answer 5

Thank you so much Sam! I really appreciate the help!

Answer 6

No problem :D