Equation of a Line (Junior Cert Mathematics): Flashcards

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Equation of a Line
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What is the equation of a line?

A mathematical rule describing every point on the line

Two main formulas for equation of a line

Point-Slope Formula and Slope-Intercept Formula

When to use Point-Slope Formula

When you know the slope and a point on the line

Point-Slope Formula

y−y1=m(x−x1)y - y_1 = m(x - x_1)

mm in Point-Slope Formula

The slope of the line

(x1,y1)(x_1, y_1) in Point-Slope Formula

A point on the line

When to use Slope-Intercept Formula

When you know the slope and y-intercept

Slope-Intercept Formula

y=mx+cy = mx + c

mm in Slope-Intercept Formula

The slope of the line

cc in Slope-Intercept Formula

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

How to find points on a line from its equation

Plug in a value for xx and solve for yy

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