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4 cards from this section. Quick, good the night before a test.
Identify if the following equations have no solution, infinite solutions, or a unique solution: 𝑦 = 3𝑥 + 1 and 𝑦 = 3𝑥 + 4.
Check the slopes and y-intercepts.
Do the equations 2𝑦 = 4𝑥 + 1 and 𝑦 = 2𝑥 + 0.5 have infinite solutions?
Simplify the first equation to compare.
What type of solution do parallel lines represent?
Think about the characteristics of lines on a graph.
Do the equations 4x - 2y = 8 and 2y = 8 - 8x indicate that there are infinite solutions?
Rearrange to see if they simplify to the same format.
Graph the equations 𝑦 = 3𝑥 + 1 and 𝑦 = 3𝑥 - 5. What can you conclude about these lines?
Compare the slopes and y-intercepts.
Prove whether the following equations provide infinite solutions: 2𝑦 = 4𝑥 + 10 and 𝑦 = 2𝑥 + 5.
Simplify the first equation and see if it matches the second.
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