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GT Geometry
• New Quarter, New Seats!
• Find a seat- you may not sit next
to someone you already sat next
to this year.
• Pick up a paper and complete with
the person next to you.
• Turn in HW on the book shelf
GT Geometry
PUT HW ON THE CORNER OF YOUR DESK!
Find the value of m.
1.

2.

3.

4.

undefined

0
Warm Up

Substitute the given values of m, x, and y into
the equation y = mx + b and solve for b.
1. m = 2, x = 3, and y = 0 b = –6
2. m = –1, x = 5, and y = –4 b = 1
Solve each equation for y.
3. y – 6x = 9

y = 6x + 9

4. 4x – 2y = 8 y = 2x – 4
Objectives
Graph lines and write their equations in
slope-intercept and point-slope form.
Classify lines as parallel, intersecting, or
coinciding.
Vocabulary
point-slope form
slope-intercept form
Remember!
A line with y-intercept b contains the point (0, b).
A line with x-intercept a contains the point (a, 0).
One interpretation of slope is a rate of change.
If y represents miles traveled and x represents
time in hours, the slope gives the rate of
change in miles per hour.
Caution!

Four given points do not always
determine two lines.
Graph the lines to make sure the points are
not collinear.
Assignment # 35
• Hand out Practice 3-5 and 3-6
• If any one still wants time to
finish work from Friday come
back and I will give you your
paper but you must finish on your
own.
• CHAPTER TEST MONDAY!
Lesson Review
1. Use the slope formula to determine the slope of the line that passes through M(3, 7) and
N(–3, 1).

m=1
Graph each pair of lines. Use slopes to determine whether they are parallel,
perpendicular, or neither.

2. AB and XY for A(–2, 5),
B(–3, 1), X(0, –2), and Y(1, 2)
4, 4; parallel
3. MN and ST for M(0, –2),
N(4, –4), S(4, 1), and T(1, –5)
Lesson Review
Write the equation of each line in the given
form. Then graph each line.
3. the line through (-1, 3)
and (3, -5) in slopeintercept form.
y = –2x + 1
4. the line through (5, –1)
with slope in point-slope
form.
y + 1 = 2 (x – 5)
5
Lesson Review
Determine whether the lines are parallel,
intersect, or coincide.
5. y – 3 = –

1
x, y – 5 = 2(x + 3)
2

intersect
6. 2y = 4x + 12, 4x – 2y = 8
parallel

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3009 review of slopes and lines

  • 1. GT Geometry • New Quarter, New Seats! • Find a seat- you may not sit next to someone you already sat next to this year. • Pick up a paper and complete with the person next to you. • Turn in HW on the book shelf
  • 2. GT Geometry PUT HW ON THE CORNER OF YOUR DESK! Find the value of m. 1. 2. 3. 4. undefined 0
  • 3. Warm Up Substitute the given values of m, x, and y into the equation y = mx + b and solve for b. 1. m = 2, x = 3, and y = 0 b = –6 2. m = –1, x = 5, and y = –4 b = 1 Solve each equation for y. 3. y – 6x = 9 y = 6x + 9 4. 4x – 2y = 8 y = 2x – 4
  • 4. Objectives Graph lines and write their equations in slope-intercept and point-slope form. Classify lines as parallel, intersecting, or coinciding.
  • 6.
  • 7.
  • 8. Remember! A line with y-intercept b contains the point (0, b). A line with x-intercept a contains the point (a, 0).
  • 9. One interpretation of slope is a rate of change. If y represents miles traveled and x represents time in hours, the slope gives the rate of change in miles per hour.
  • 10.
  • 11. Caution! Four given points do not always determine two lines. Graph the lines to make sure the points are not collinear.
  • 12. Assignment # 35 • Hand out Practice 3-5 and 3-6 • If any one still wants time to finish work from Friday come back and I will give you your paper but you must finish on your own. • CHAPTER TEST MONDAY!
  • 13. Lesson Review 1. Use the slope formula to determine the slope of the line that passes through M(3, 7) and N(–3, 1). m=1 Graph each pair of lines. Use slopes to determine whether they are parallel, perpendicular, or neither. 2. AB and XY for A(–2, 5), B(–3, 1), X(0, –2), and Y(1, 2) 4, 4; parallel 3. MN and ST for M(0, –2), N(4, –4), S(4, 1), and T(1, –5)
  • 14. Lesson Review Write the equation of each line in the given form. Then graph each line. 3. the line through (-1, 3) and (3, -5) in slopeintercept form. y = –2x + 1 4. the line through (5, –1) with slope in point-slope form. y + 1 = 2 (x – 5) 5
  • 15. Lesson Review Determine whether the lines are parallel, intersect, or coincide. 5. y – 3 = – 1 x, y – 5 = 2(x + 3) 2 intersect 6. 2y = 4x + 12, 4x – 2y = 8 parallel