Lesson 3 3 Slopes of Lines Ohio Content

Lesson 3 -3 Slopes of Lines

Ohio Content Standards:

Ohio Content Standards: Recognize and apply angle relationships in situations involving intersecting lines, perpendicular lines and parallel lines.

Ohio Content Standards: Describe and interpret rates of change from graphical and numerical data.

Ohio Content Standards: Recognize and explain that the slopes of parallel lines are equal and the slopes of perpendicular lines are negative reciprocals.

Ohio Content Standards: Compute and interpret slope, midpoint and distance given a set of ordered pairs.

Slope

Slope The ratio of a line’s vertical rise to its horizontal run.

Slope The ratio of a line’s vertical rise to its horizontal run.

Determine the slope of a line that contains the given points.

Determine the slope of a line that contains the given points. A(-3, 7), B(-1, -1)

Determine the slope of a line that contains the given points. C(0, -3), D(0, 4)

Determine the slope of a line that contains the given points. W(6, 2), X(-2, -5)

Determine the slope of a line that contains the given points. Y(6, -1), Z(-2, -1)

Postulate 3. 2

Postulate 3. 2 Two nonvertical lines have the same slope if they are parallel.

Postulate 3. 3

Postulate 3. 3 Two nonvertical lines are perpendicular if the product of their slopes is -1.

Determine whether FG and HJ are parallel, perpendicular, or neither.

Determine whether FG and HJ are parallel, perpendicular, or neither. F(1, -3), G(-2, -1), H(5, 0), J(6, 3)

Determine whether FG and HJ are parallel, perpendicular, or neither. F(4, 2), G(6, -3), -1, 5), J(-3, 10) H(

Graph a line that contains Q(5, 1) and is parallel to MN with M(-2, 4) and N(2, 1).

Assignment: Pgs. 142 -144 16 -32 evens, 52 -68 evens