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12 cards from this deck
y=mx+cy = mx + cy=mx+c
The gradient (slope)
The y-intercept
y−y1=m(x−x1)y - y_1 = m(x - x_1)y−y1=m(x−x1)
When you know gradient and y-intercept
When you know the gradient and one point on the line
Calculate the gradient using the two points
m=y2−y1x2−x1m = \frac{y_2 - y_1}{x_2 - x_1}m=x2−x1y2−y1
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
y=mxy = mxy=mx
ax+by+c=0ax + by + c = 0ax+by+c=0
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