5.2--Writing Equations of Parallel Lines
Parallel lines (//) have the same slope!
Write the equation of the line...
1) Parallel to y = 2x - 3 and passes through point (-2, 1)
2) Parallel to y = -1/3x + 1 and passes through (3, 4)
3) Passes through the point (-1, -3) and is parallel to
4x + 2y = 6.
1
and
Graph the lines
same coordinate plane.
on the
What type of angle do these
lines form?
How are the lines related on
the graph?
What do you notice about the slopes of the lines?
Perpendicular lines (
) have opposite reciprocal slopes.
What is the slope of the line perpendicular to the given
line?
3) -3x + 6y = 18
2) y = -4x -2
1)
Write the equation of the line in slope-intercept form.
and passes
1) Perpendicular to the line
through the point (-4, 1).
2) Perpendicular to the line y = -3x - 2 and passes through
the point (6, 7).
2