Equations of Straight Lines (VCE SSCE General Mathematics): Flashcards

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Equations of Straight Lines
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Slope formula using points (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2)

y2y1x2x1\frac{y_2 - y_1}{x_2 - x_1}

Rise in slope calculation

y2y1y_2 - y_1 (vertical change)

Run in slope calculation

x2x1x_2 - x_1 (horizontal change)

Intercept-slope form of straight line equation

y=a+bxy = a + bx

What aa represents in y=a+bxy = a + bx

y-intercept

What bb represents in y=a+bxy = a + bx

slope

How to find y-intercept from y=a+bxy = a + bx

constant term (aa)

How to find slope from y=a+bxy = a + bx

coefficient of xx (bb)

What negative slope indicates

Line decreasing (downward from left to right)

Points needed to sketch a straight line

Two points

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