Find the equation of the line that passes through the (4,6) and (9,-4)
First write out the general equation, y = mx + c where m = gradient and c = the Y-interceptFind the gradient m= change in y/change in xM= (-4,-6)/(9-4) = (-10)/(5) = -2Find c by substituting in either of the coordinates into the equation.y= -2x + c6= -2(-4) + c6= -8 + c6 + 8 = c = 14Therefore the equation is y = -2x + 14
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