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Exercises 11.3- omplete the following: Find the slope of a line parallel to the line through the points. (a) (2, 5) and (4, -6)

Sagot :

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