y = mx + c (AQA GCSE Maths): Flashcards

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The equation of a straight line: $y = mx + c$
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Other name for y=mx+cy = mx + c format

Standard form (or slope-intercept form)

What does mm represent in y=mx+cy = mx + c?

The gradient (or slope) of the line

What does cc represent in y=mx+cy = mx + c?

The y-intercept (where line crosses y-axis)

First step to rearrange equation into y=mx+cy = mx + c

Isolate yy on one side of the equation

What is mm in y=mx+cy = mx + c?

The coefficient of xx (number in front of xx)

What is cc in y=mx+cy = mx + c?

The constant term that stands alone

Formula for gradient

rac{ ext{change in y}}{ ext{change in x}}

How to find cc from a graph

Look where the line crosses the y-axis

Gradient formula using two points (x1,y1)(x_1, y_1), (x2,y2)(x_2, y_2)

m = rac{y_2 - y_1}{x_2 - x_1}

How to verify your final straight-line equation

Substitute both original points back into the equation

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