SOLUTION: Part 1: Provide a system of TWO equations in slope-intercept form, with only one solution. Using complete sentences, explain why this system has one solution. Part 2: Provide a

Question 633170: Part 1: Provide a system of TWO equations in slope-intercept form, with only one solution. Using complete sentences, explain why this system has one solution.
Part 2: Provide a system of TWO equations in slope-intercept form with no solutions. Using complete sentences, explain why this system has no solutions.
Part 3: Provide a system of TWO equations in slope-intercept form with infinitely many solutions. Using complete sentences, explain why this system has infinitely many solutions.

Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
3)Let's start with infinite number of solutions. The two equations are the same line. The equations are multiple of each other.
y=x+2
2y=2x+4
2)
equations with no solutions are parallel.
y=3 and y=4 are parallel horizontal lines with slope of zero.
1)
this is the type you usually find where the two lines cross.
However, I am going to give you perpendicular lines which don't fit the rule.
y=3 and x=3 are perpendicular but the slopes multiplied together don't equal -1
x=3 is a vertical line.
y=3 is a horizontal line.
y=3 has a slope of zero.
x=3 has an undefined slope since x never changes. Remember slope is the change in y over the change in x.

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