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Copy of Equation of a Straight Line

Equation of a Line y=mx + c

Part I

1) Check the 'Show Equation' box to reveal the equation of the line.

(i) What is the coefficient of x for the equation of the line?

(ii) Calculate the gradient of the line y = x + 1.

(iii) What can you say about the coefficient of x and the gradient of the line for y = x + 1?

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2) Adjust the slider for m such that m = 2.

(i) What is coefficient of x now?

(ii) Calculate the gradient of the line y = 2x + 1.

(iii) What can you say about the coefficient of x and the gradient of the line for y = 2x + 1?

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3) Adjust the slider for m to various other values (including negative values) and calculate the gradients for the corresponding lines. What can you conclude about the gradient of a line and the coefficient of x in the equation of the line?

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Part II

4) Return the slider for m such that m = 1 and ensure that the slider for c = 1.

(i) State the constant value in the equation y = x + 1.

(ii) With reference to the graph, state the y-intercept of the line y = x + 1.

(iii) What can you say about the constant value in the equation and the y-intercept of the line?

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5) Adjust the slider for c such that c = 2.

(i) State the constant value in the equation.

(ii) With reference to the graph, state the y-intercept of the line.

(iii) What can you say about the constant value in the equation and the y-intercept of the line?

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  • A
  • B
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6) 3) Adjust the slider for c to various other values (including negative values) and observe the y-intercept of the corresponding graphs. What can you conclude about the y-intercept of a line and the constant in the equation of the line?

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  • A
  • B
Check my answer (3)