Find the line that passes through the points (-2,3) and (1,-12)
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To find the equation of the line passes through the points (-2,3) and (1,-12) ;
first we know the form of an equation of line is : y = ax + b
so should we find a and b
to find a , must a = (y2 - y1)/(x2 - x1) = (-12 - 3)/(1 - (-2)) = -15/3 = 5
so : y = 5x + b to find b should chose one point (-2,3) per exemple
and we put the point on the equation :
3 = 5 * (-2) + b
3 = -10 + b
b = 13
finally the equation of the line is :
y = 5x + 13
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