The expression for a linear equation is
a) The slope-intercept form.
y = mx + b
m= (y2-y1)/ (x2-x1)
y-intercept is (0, b)
or
b) point-slope form
(y - y1) = m (x -x1)
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So then, we need:
a) the slope and a point ( y-intercept or other)
or
b) two points (to calculate the slope and use the other in the point-slope form )