Given :
Two points (7,-4) and (-3,4).
To Find :
The equation of line passes through the given points.
Solution :
We know, equation of line passing through two points (x₁, y₁) and (x₂, y₂) is given by :
[tex]y - y_1 = (\dfrac{y_2-y_1}{x_2-x_1})(x-x_1)\\\\y-(-4) = (\dfrac{4-(-4)}{-3-7})(x-7)\\\\y+4 = -\dfrac{4}{5}(x-7)\\\\5y+ 20 = -4x + 28\\\\5y + 4x = 8[/tex]
Therefore, equation of required line is 5y + 4x = 8.
