Would be greatly appreciated : ) 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.

n is , p is , and r has infinitely many different lines that have this property.

Step-by-step explanation:

If two lines have no solutions, that means that they are parallel. The slopes of two lines are the same if they are parallel. So n's slope is . The y-intercept can be anything except -5, or +b. If two lines have infinitely many solutions, those two lines are exactly the same. So p is just m. If two lines have one and only one solution, that just means the slopes and y-intercepts are different. Since we don't know anything else about line r, we an't model an equation for it.