Linear Graphs – Gradient-Intercept Method – Worksheet A The worksheet is in two sizes.

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draw a line with gradient 2. What is the equation 1) a) From Point A, draw a line with gradient 2. What is the equation of the line you drew? (remember: 𝑦=𝑚𝑥+𝑐) A b) Draw a line parallel to the one you drew. 2) a) Draw the lines: i) 𝑦=2𝑥+1 ii) 𝑦=3𝑥+2 iii) 𝑦=𝑥 b) At what coordinate do the lines meet? ( , ) 3) a) Draw the lines: i) 𝑦=2𝑥−4 ii) 𝑦= 1 2 𝑥+5 iii) 𝑦=− 1 2 𝑥+1 iii) 𝑦=−3𝑥−8 b) What happens at point (2,0)?

Half Answers 𝑦=2𝑥+3 1) a) From Point A, draw a line with gradient 2. What is the equation of the line you drew? (remember: 𝑦=𝑚𝑥+𝑐) Half Answers A 𝑦=2𝑥+3 b) Draw a line parallel to the one you drew. 2) a) Draw the lines: i) 𝑦=2𝑥+1 ii) 𝑦=3𝑥+2 iii) 𝑦=𝑥 b) At what coordinate do the lines meet? ( , ) 3) a) Draw the lines: i) 𝑦=2𝑥−4 ii) 𝑦= 1 2 𝑥+5 iii) 𝑦=− 1 2 𝑥+1 iii) 𝑦=−3𝑥−8 b) What happens at point (2,0)?

Answers 𝑦=2𝑥+3 -1 -1 Two perpendicular lines cross. 1) a) From Point A, draw a line with gradient 2. What is the equation of the line you drew? (remember: 𝑦=𝑚𝑥+𝑐) Answers A 𝑦=2𝑥+3 b) Draw a line parallel to the one you drew. 2) a) Draw the lines: i) 𝑦=2𝑥+1 ii) 𝑦=3𝑥+2 iii) 𝑦=𝑥 b) At what coordinate do the lines meet? ( , ) -1 -1 3) a) Draw the lines: i) 𝑦=2𝑥−4 ii) 𝑦= 1 2 𝑥+5 iii) 𝑦=− 1 2 𝑥+1 iii) 𝑦=−3𝑥−8 b) What happens at point (2,0)? Two perpendicular lines cross.

1) a) 1) a) b) b) 2) 2) a) a) b) b) 3) a) 3) a) b) b) From Point A, draw a line with gradient 2. What is the equation of the line you drew? (remember: 𝑦=𝑚𝑥+𝑐) a) From Point A, draw a line with gradient 2. What is the equation of the line you drew? (remember: 𝑦=𝑚𝑥+𝑐) A A b) b) Draw a line parallel to the one you drew. Draw a line parallel to the one you drew. 2) 2) a) Draw the lines: i) 𝑦=2𝑥+1 ii) 𝑦=3𝑥+2 iii) 𝑦=𝑥 a) Draw the lines: i) 𝑦=2𝑥+1 ii) 𝑦=3𝑥+2 iii) 𝑦=𝑥 b) b) At what coordinate do the lines meet? At what coordinate do the lines meet? ( , ) ( , ) 3) a) Draw the lines: i) 𝑦=2𝑥−4 ii) 𝑦= 1 2 𝑥+5 iii) 𝑦=− 1 2 𝑥+1 iii) 𝑦=−3𝑥−8 3) a) Draw the lines: i) 𝑦=2𝑥−4 ii) 𝑦= 1 2 𝑥+5 iii) 𝑦=− 1 2 𝑥+1 iii) 𝑦=−3𝑥−8 b) b) What happens at point (2,0)? What happens at point (2,0)?

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