Find the equation of the line passing through the point P(4, - 5) and parallel to the line joining the points A(3, 7) and B( - 2, 4).

As two points passing through a line parallel to the line are given, we will calculate slope using two points(slope of parallel lines is equal).



Now using the slope - intercept form, we will find intercept for a line passing through (4, - 5)


y = mx + c ………………….(1)




Putting value in equation (1)



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