Question

The equation of the line passing the point (5,-4), with the slope of -7/2 is

Answer 1

Given that ,

A line passing through the point (5,-4) whose slope is -7/2

We know that , the point slope form is given by

$\large \sf \fbox{Slope \: (m) = \frac{ y_{2} - y_{1} }{x_{2} - x_{1} } }$

Thus ,

-7/2 = (y + 4)/(x - 5)

-7x + 35 = 2y + 8

7x + 2y - 27 = 0

$\therefore \sf \underline{The \: equation \: of \: the \: line \: is \: 7x + 2y - 27 = 0}$