Exploring x-Intercepts and y-Intercepts

The video tutorial explains the concept of x and y intercepts in graphing. It describes how to identify these intercepts on a graph, emphasizing that x-intercepts occur where the graph crosses the x-axis and y-intercepts occur where it crosses the y-axis. The tutorial provides a step-by-step method to find these intercepts by setting the opposite variable to zero and solving the equation. An example problem is worked through to demonstrate the process. The video concludes with a recap and notes on special cases where intercepts may not exist.

What should you ensure when drawing the axes?

• Label them with numbers

• Draw them in different colors

• Put arrows on the ends and label them

• Make them perpendicular

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CCSS.HSA.CED.A.2

What is the term for the point where the graph hits the x-axis?

• Y-intercept

• Origin

• X-intercept

• Slope

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How can you abbreviate the y-intercept?

• Y-int

• Y-axis

• Y-ord

• Y-pt

What is always true about the y-value of an x-intercept?

• It is always one

• It is always negative

• It is always zero

• It is always positive

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CCSS.HSA.REI.D.10

What is the form of an x-intercept?

• (a, 0)

• (0, b)

• (0, 0)

• (a, b)

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To find the x-intercept, what should you set y to?

• 1

• a

• b

• 0

In the equation 3x + 4y = 9, what is the x-intercept?

• (0, 3)

• (9, 0)

• (3, 0)

• (0, 9)

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CCSS.8.EE.B.6

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What is the y-intercept of the equation 3x + 4y = 9?

• (0, 4)

• (4, 0)

• (0, 9/4)

• (9/4, 0)

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CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

What should you do to find the y-intercept?

• Set y to 0

• Set x to 0

• Set y to 1

• Set x to 1

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What kind of numbers are we looking for in x and y intercepts?

• Rational numbers

• Complex numbers

• Real numbers

• Imaginary numbers

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CCSS.HSA.REI.D.11