Graph Intercept Concepts

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Questions and Answers

What is the x-intercept of a line?

  • The place where the line crosses the y-axis
  • The place where the line crosses the x-axis
  • The place where x = 1
  • The place where y = 0 (correct)

How can you find the y-intercept of a line?

  • By setting x = 0 in the equation and solving for y (correct)
  • By finding where the line crosses the x-axis
  • By locating where y = 1
  • By setting y = 0 in the equation and solving for x

What does the x-intercept represent geometrically on a graph?

  • The point where x = 0 (correct)
  • The point where y = -1
  • The intersection with the y-axis
  • The highest point of the line

When determining the y-intercept, why is it necessary to set x = 0?

<p>To locate where the line intersects with the y-axis (D)</p> Signup and view all the answers

In finding the x-intercept, why is it crucial to make y = 0?

<p>To locate where the line crosses the x-axis (A)</p> Signup and view all the answers

What is the x-intercept of the line represented by the equation $2x + 3y = 12$?

<p>(6, 0) (B)</p> Signup and view all the answers

For the equation $y = 3x + 6$, what is the y-intercept?

<p>(0, 6) (A)</p> Signup and view all the answers

Which point lies on the line represented by $2x + 3y = 12$?

<p>(3, 2) (B)</p> Signup and view all the answers

For the line $y = 2$, what is true about its x-intercept?

<p>It doesn't exist. (C)</p> Signup and view all the answers

If you want to determine the x-intercept of a line, what value should you substitute into the equation?

<p>$(-2, 0)$ (A)</p> Signup and view all the answers

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