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Question

Mathematics Question on Various Forms of the Equation of a Line

Find the equation of the line which passes through the point (-4, 3) with slope 12\frac 12.

Answer

We know that the equation of the line passing through point (x0, y0), whose slope is m, is:
(yy0)=m(xx0).(y-y_0)=m(x-x_0) .
Thus, the equation of the line passing through point (-4, 3), whose slope is 12\frac 12, is:
(y3)=12(x+4)(y-3) = \frac 12(x+4)
2(y3)=x+42(y-3) = x+4
2y6=x+42y-6 = x+4
x2y+10=0x-2y+10 = 0