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
Algebra ->
Graphs
-> 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
Log On
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.
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.