Equation of a Straight Line (AQA A-Level Mathematics): Flashcards

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Equation of a Straight Line
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Slope-intercept form of line eqn

y=mx+cy = mx + c

In y=mx+cy = mx + c, what is mm?

Slope of the line

In y=mx+cy = mx + c, what is cc?

yy-intercept

Formula for slope mm from 2 points

m=y2−y1x2−x1m = \frac{y_2 - y_1}{x_2 - x_1}

Point-slope form equation

y−y1=m(x−x1)y - y_1 = m(x - x_1)

General form of line equation

Ax+By+C=0Ax + By + C = 0

Two-point form equation

y−y1=y2−y1x2−x1(x−x1)y - y_1 = \frac{y_2 - y_1}{x_2 - x_1}(x - x_1)

What is the yy-intercept?

Point where line crosses yy-axis (when x=0x = 0)

When to use point-slope form

When you know slope mm and one point (x1,y1)(x_1, y_1)

What does slope mm measure?

Steepness of the line

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