If the lines are parallel then the slopes will be equal
The slope is the ratio of the rate of change in y coodinate with respect to rate of change in x coordinate
[tex]\text{ Slope=}\frac{y_2-y_1}{x_2-x_1}_{}[/tex]The given pair of coordinates : (2,5) and (4,-6)
[tex]\begin{gathered} \text{ Slope = }\frac{-6-5}{4-2} \\ \text{ Slope=}\frac{-11}{2} \end{gathered}[/tex]The slope of the line is -11/2
The slope of the line parallel to line whose coordinates are (2,5) and (4,-6) is -11/2
