Equation of a Line (Leaving Cert Mathematics): Flashcards

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Equation of a Line
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Slope-intercept form of a line

y=mx+cy = mx + c

Meaning of mm in y=mx+cy = mx + c

Slope of the line

Meaning of cc in y=mx+cy = mx + c

y-intercept (where line crosses y-axis)

Point-slope form of a line

y−y1=m(x−x1)y - y_1 = m(x - x_1)

(x1,y1)(x_1, y_1) in point-slope form

A known point on the line

General form of line equation

ax+by+c=0ax + by + c = 0

Equation of a vertical line

x=kx = k (where kk is a constant)

Equation of a horizontal line

y=ky = k (where kk is a constant)

Slope formula between (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2)

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

What's needed to find line equation (option 1)

Slope (mm) and y-intercept (cc)

What's needed to find line equation (option 2)

Two points on the line

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