The Equation y = mx + c (Leaving Cert Mathematics): Flashcards

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The Equation y = mx + c
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Slope-intercept form equation

y=mx+cy = mx + c

In y=mx+cy = mx + c, what mm represents

Slope (steepness of the line)

In y=mx+cy = mx + c, what cc represents

Y-intercept

What slope measures

Rate at which line rises or falls

Positive slope indicates

Line is increasing

Negative slope indicates

Line is decreasing

Coordinates of y-intercept

(0,c)(0, c)

When does y-intercept occur

When x=0x = 0

Where line crosses y-axis

Y-intercept, point (0,c)(0, c)

Parallel lines slope relationship

Identical slopes, different y-intercepts

Product of perpendicular line slopes

−1-1

Perpendicular lines slope condition

Product of their slopes equals −1-1

To get perpendicular slope from 23\frac{2}{3}

Flip & change sign: −32-\frac{3}{2}

Larger absolute slope value means

Steeper line

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