Question

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)

Answer 1

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

`\text{ Slope=}(y_2-y_1)/(x_2-x_1)_{}`

The given pair of coordinates : (2,5) and (4,-6)

`\begin{gathered} \text{ Slope = }(-6-5)/(4-2) \\ \text{ Slope=}(-11)/(2) \end{gathered}`

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