Would be greatly appreciated! 20 3. in picture 4. the equation for line m is y = 1/2x - 5 . use this information and these descriptions to write an equation for line n, line p, and line r. (a) line m and line n have no solutions. write an equation that can represent line n. (b) line m and line p have infinitely many solutions. write an equation that can represent line p. (c) line m and line r have one solution. write an equation that can represent line r. 5. identify whether each statement about a system of linear equations is true or false. for each false statement, change a word to make it a true statement. (a) a system with two linear equations may have two solutions. (b) lines in a system with no solutions are always parallel. (c) the solution when a system of equations has only one solution is the ordered pair at which the equations' graphs intersect. (d) equations that have different slopes have no solution.

Step-by-step explanation:

Three

3a

Two lines that have slopes where 1 is the negative of the other will intersect some where once and only once. I've included a graph for this.

3b

If you multiply the top line by 2 you get the bottom line. They are the same line. There's an infinite number of solutions.

3C

They will intersect once. On your paper just extend both lines. They intersect.

3D

If they are parallel, they never intersect. No solution.

Four

what's at the tail end of four. y = 1/2x - ???? I'll give it a value. You'll have to change the value to get it to work properly.

A

m: y = 1/2x - 4   The 4 is mine. Change it to what it says.

n: y =  1/2x - 8    Any value except - 4 will work.

B

m: y = 1/2x - 4

n : -2y = -x + 8           They are really the same equation. n = -2*m

C

m: y = 1/2 x - 4

n: y = x + 3

I'm going to let you work your way through 5. There should be enough in 3 and 4 to get five.

Five

A: False

B: This question is not true, but you probably don't have enough math to say why. Bend your right arm so it is parallel to your belt. Above that "line" bend your left arm so it is over the right arm in just one place. The left arm should be pointing towards the wall of your room. Those two are not parallel nor do they have  any meeting place.

C: True

D: False

It is better to use completing the square method to solve this quadratic equation.