Question 212018
what's the equation for points (0,-5) (-3,-2)?
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Points don't have equations, lines and planes have equation.
Since there are only 2 points, the only type of line that can be defined by them is a straight line, which has a linear equation.
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To find the equation of the straight line passing thru these 2 points, first find the slope, m, of the line.
n = diffy/diffx = (-2-5)/(-3-0)
m = 7/3
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Then use either point in
y-y1 = m*(x-x1)
y+5 = (7/3)x
y = (7/3)x - 5  (slope-intercept form)
7x - 3y = 15 (standard form)