Graphs: Finding the Point of Intersection between a Line and the X-axis

Graphs: Finding the Point of Intersection between a Line and the X-axis

Assessment

Interactive Video

Mathematics, Information Technology (IT), Architecture

10th - 12th Grade

Hard

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The video tutorial explains how to find the point where a line perpendicular to another crosses the X-axis. It starts by introducing the problem and the equations of the lines involved. The tutorial then details the calculation of the gradient for the perpendicular line using a specific formula. It proceeds to find the Y-intercept by substituting known coordinates into the equation. The tutorial includes a visualization of the line on a graph and concludes by solving for the X-axis intersection point. Finally, it outlines the marking scheme for the problem.

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the equation of the straight line L1?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you calculate the gradient of line L2 given that it is perpendicular to line L1?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What coordinates does line L2 pass through?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you find the value of C in the equation of line L2?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the final equation of line L2 after calculating C?

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

Where does line L2 cross the X axis?

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the coordinates of the point where line L2 crosses the X axis?

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