Teach Genie
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A straight line is usually written as y=mx+cy = mx + cy=mx+c. In this form, mmm is the gradient and ccc is the y-intercept.
The y-intercept is where the line crosses the y-axis, so it happens when x=0x = 0x=0. A positive gradient rises from left to right, a negative gradient falls, and a horizontal line has gradient 0.
The crossing point is (0,c)(0, c)(0,c). This means you can read a lot from the equation before you even draw the line.
Question 1
2 marksThe line y=3x+5y = 3x + 5y=3x+5 crosses the y y\,y axis at PPP.
What is the value of y y\,y at PPP?
What does the first value in a coordinate pair (x,y)(x, y)(x,y) represent?
Revision notes for Edexcel GCSE Maths Equation of a Line. Open the guide for explanations and worked examples. Written against the Edexcel GCSE Maths (1MA1) specification, so the content matches what's examinable rather than general Maths background.
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What are the gradient and y-intercept of the line y=5x−3y = 5x - 3y=5x−3?