Without graphing, determine whether the graphs of the equations are identical lines, parallel lines, or lines intersecting at a single point.

Choose one answer.
a. parallel lines
b. identical lines
c. lines intersecting at a single point

Question

Without graphing, determine whether the graphs of the equations are identical lines, parallel lines, or lines intersecting at a single point.

Choose one answer.
	 a. parallel lines	
	 b. identical lines	
	 c. lines intersecting at a single point

anonymous · Answer

can you post a screenshot?

ash2326 · Answer

yeah attachement is directing to a login page

anonymous · Answer

Sorry! =)

anonymous · Answer

You can re-arrange and compare slopes e.g.

6x - y = 25  --> y = 6x-25
x + 5y =30  --> y =-(1/5)x+6

The slopes are different so the lines will intersect.

anonymous · Answer

$$(1) = 6x-y=25$$$$(2)= x+5y=30$$
Multiplying (1) by 5 and adding it with (2), we get
$$5 \times (6x-y)+x+5y=5 \times 25 + 30$$$$30x - 5y + x + 5y = 125 + 30$$$$31x=155$$$$x=155/31$$$$y=6 \times 155/31 - 25$$

So we now know that the lines interset and one and only point.