Gr 11 Math Ch 4: Parallel Lines
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Questions and Answers

What is the necessary condition for two lines to be parallel?

  • They have the same slope-intercept form.
  • They have the same gradient. (correct)
  • They have the same x-intercept.
  • They have the same y-intercept.

    • What form of the equation of a line should be used to easily identify the gradient?

  • Standard form. (correct)
  • Point-slope form.
  • Intercept form.
  • Slope-intercept form.

    • What is the primary purpose of using the point-slope form when finding the equation of a parallel line?

  • To simplify the equation of the line.
  • To use the given point and gradient to find the equation of the line. (correct)
  • To find the slope of the line.
  • To find the y-intercept of the line.

    • What should be done to the equation of a parallel line after using the point-slope form?

    <p>Simplify the equation to the standard form.</p> Signup and view all the answers

    What is a key difference between parallel lines and identical lines?

    <p>Their y-intercepts.</p> Signup and view all the answers

    Why is it necessary to ensure the given line's equation is in the gradient-intercept form?

    <p>To directly read off the gradient of the line.</p> Signup and view all the answers

    If two lines are parallel, what can be said about their gradients?

    <p>They are equal.</p> Signup and view all the answers

    What is the first step in finding the equation of a parallel line?

    <p>Identify the gradient of the given line.</p> Signup and view all the answers

    What is the primary purpose of using the gradient-intercept form of the equation of a line?

    <p>To easily identify the gradient of the line.</p> Signup and view all the answers

    If a line has a gradient of 2, what is the gradient of a line parallel to it?

    <p>2</p> Signup and view all the answers

    What is true about the y-intercepts of parallel lines?

    <p>They can be the same or different.</p> Signup and view all the answers

    What is the equation of a line parallel to the line y = 2x + 3, passing through the point (1, 5)?

    <p>y = 2x + 4</p> Signup and view all the answers

    What is the relationship between the gradients of two parallel lines and their respective y-intercepts?

    <p>The gradients are equal, but the y-intercepts can be different.</p> Signup and view all the answers

    A line passes through the point (2, 3) and is parallel to the line y = 3x - 2. What is the equation of the line in slope-intercept form?

    <p>y = 3x - 1</p> Signup and view all the answers

    What is the primary reason for ensuring the given line's equation is in the standard form y = mx + c?

    <p>To easily identify the gradient.</p> Signup and view all the answers

    If two lines are parallel, which of the following statements is TRUE?

    <p>They have the same gradient and different y-intercepts.</p> Signup and view all the answers

    What is the purpose of using the point-slope form when finding the equation of a parallel line?

    <p>To find the equation of the parallel line in slope-intercept form.</p> Signup and view all the answers

    If a line has a gradient of -2, what is the gradient of a line parallel to it?

    <p>-2</p> Signup and view all the answers

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