The slope of the line is (diff in y-coord)/(diff in x-coord) = (7-3)/(1+2) = 4/3
So the equation of the line is of the form y = 4/3*x + c where c is a constant to be determined
Equivalently, 3y = 4x + c' where c' is (another) constant to be determined.
The point (1,7) is on this line so 3*7 = 4*1 + c' ie c' = 21-4 = 17
So the equation of the line is 3y = 4x + 17
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Points: (-3, 7) and (5, -1) Slope: -1 Equation: y = -x+4
y = 2x + 1.
y=2x+1
y = 3x - 3
using the point slope form: y - y1 = m (x - x1) y - 5 = 3 (x + 1)