What Is 'y = mx + c'

This lesson covers:

  1. What we mean by 𝑦 = 𝑚𝑥 + 𝑐
  2. 𝑚 is the gradient 
  3. 𝑐 is the y-intercept 

What does the 𝑚 in 𝑦 = 𝑚𝑥 + 𝑐 represent?

The 𝒚-intercept

The 𝒚 value of a coordinate

The gradient

The 𝒙 value of a coordinate

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What does the 𝑐 in 𝑦 = 𝑚𝑥 + 𝑐 represent?

The 𝒚 value of a coordinate

The 𝒚-intercept

The 𝒙 value of a coordinate

The gradient

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What is the gradient of the line 𝑦 = 2𝑥 - 7?

2

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What are the coordinates of the point where the line 𝑦 = -3𝑥 + 5 crosses the y-axis?


( 0 , )

5

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Rearrange the equation 6𝑥 + 3𝑦 = 15 into the form 𝑦 = 𝑚𝑥 + 𝑐.

𝑦 = - 6𝑥 + 15 

𝑦 = 2𝑥 + 5

𝑦 = 5 - 2𝑥

𝑦 = -2𝑥 + 5

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What is the gradient of the line 𝑦 = 𝑥 - 3

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What are the coordinates of the point where the line 𝑦 = -5𝑥 crosses the y axis?


( , )

0
0

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Rearrange the equation  2𝑦 - 16 = 4x into the form 𝑦 = 𝑚𝑥 + 𝑐.

𝑦 = - 6𝑥 + 15 

𝑦 = 2𝑥 + 5

𝑦 = 5 - 2𝑥

y = 2𝑥 + 8

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