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12 cards from this deck
y=mx+cy = mx + cy=mx+c
Gradient (steepness of line)
Y-intercept (where line crosses y-axis)
y−y1=m(x−x1)y - y_1 = m(x - x_1)y−y1=m(x−x1)
y−y1y2−y1=x−x1x2−x1\frac{y - y_1}{y_2 - y_1} = \frac{x - x_1}{x_2 - x_1}y2−y1y−y1=x2−x1x−x1
Same gradient
−1-1−1
−1m-\frac{1}{m}−m1 (negative reciprocal)
x=0x = 0x=0
y=0y = 0y=0
(x1+x22,y1+y22)\left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right)(2x1+x2,2y1+y2)
When you know gradient and one point
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