Geometry Quarter 2: Handout #1
Name ___________________ Date ____________ Period ________
NOTES PACKET!!!
“y = mx + b” Linear Equations & Graphs UNIT

Slope (m) – A measure of the steepness of a line. When x and y
represent different things the slope measures the rate of change.
o A positive slope indicates the line rises up to the right.
o A negative slope indicates that the line falls to the right.
o A slope of zero means you have a flat, horizontal line. (y = #)
o An undefined (0 in denominator) slope means you have a vertical line. (x = #)

Parallel Lines – Have the same slope; never intersect

Perpendicular Lines – Have opposite, reciprocal slopes; intersect at right angles (90o)
o Formula:
Geometry Quarter 2: Handout #1
Slope & Rate of Change

Calculate the slope of the line passing through the points (-3, 5) and (2, 1)
and then plot the points and explain why the slope formula makes sense.

Find the slope of the line passing through the given points. Then tell whether
the line rises, falls, is horizontal or vertical and explain how you know.
o (-1, 1) and (3, -2)
o (2, 5) and (3, 10)
o (-9, 4) and (-9, 11)
o (2, 3) and (-5, 3)
Geometry Quarter 2: Handout #1
Equations of Lines (in y = mx + b form) – Day #1

Write the equation of the line that has the given slope and y-intercept:
o m = 4 and b = -9

Write the equation of the line that has the given slope and y-intercept:
o m = -1/2 and b = 121

Write the equation of the line that has the given slope and y-intercept:
o Y-intercept = -301 and slope = -1000

Write the equation of the line that passes through the given point and
has the given slope:
o (0, 9) and m = -3
o (-1, 4) and m = 2
o (-3, 0) and m = 1
o (-1, 2) and m = 0
o (2, -3) and m = undefined
Geometry Quarter 2: Handout #1
Equations of Lines (in y = mx + b form) – Day #2

Write the equation of the line that passes through the given points:
o (2, -1) and (4, 6)
o (1, -3) and (0, 1)
o (0, 5) and (0, -8)
o (10, 0) and (-3, 0)
o (2, -1) and (3, -1)
Geometry Quarter 2: Handout #1
Parallel Lines – Day #1

A given line has a slope of - ¾. (ie, m =
-¾)
o What would the slope of a line parallel to this line be and why?

A given line has a slope of 2. (ie, m =
2)
o What would the slope of a line parallel to this line be and why?

A given line has a slope of -8. (ie, m =
-8)
o What would the slope of a line parallel to this line be and why?

Write the equation of the line that passes through (2, 6) and is parallel
to the line y = -x + 1.

Write the equation of the line that passes through (-1, -2) and is parallel
to the line y = 3x - 8.

Write the equation of the line that passes through (0, 3) and is parallel
to the line y = -2x + 3.
Geometry Quarter 2: Handout #1
Parallel Lines – Day #2

Write the equation of the line that passes through (-2, 0) and is parallel
to the line y = 4x + 11.

Write the equation of the line that passes through (-1, 1) and is parallel
to the line that passes through (2, 1) and (4, -3).

Write the equation of the line that passes through (3, -1) and is parallel
to the line that passes through (0, -1) and (2, -2).

Write the equation of the line that passes through (-5, -4) and is parallel
to the line that passes through (8, 1) and (-10, 3).
Geometry Quarter 2: Handout #1
Perpendicular Lines – Day #1

A given line has a slope of - ¾. (ie, m =
-¾)
o What would the slope of a line perpendicular to this line be and why?

A given line has a slope of 2. (ie, m =
2)
o What would the slope of a line perpendicular to this line be and why?

A given line has a slope of -8. (ie, m =
-8)
o What would the slope of a line perpendicular to this line be and why?

Write the equation of the line that passes through (2, 6) and is
perpendicular to the line y = -x + 1.

Write the equation of the line that passes through (-1, -2) and is
perpendicular to the line y = 3x - 8.

Write the equation of the line that passes through (0, 3) and is
perpendicular to the line y = -2x + 3.
Geometry Quarter 2: Handout #1
Perpendicular Lines – Day #2

Write the equation of the line that passes through (-2, 0) and is
perpendicular to the line y = 4x + 11.

Write the equation of the line that passes through (-1, 1) and is
perpendicular to the line that passes through (2, 1) and (4, -3).

Write the equation of the line that passes through (3, -1) and is
perpendicular to the line that passes through (0, -1) and (2, -2).

Write the equation of the line that passes through (-5, -4) and is
perpendicular to the line that passes through (8, 1) and (-10, 3).