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Geometry Drill 12/1/14 
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 
Solve each equation for y. 
3. y – 6x = 9 
b = 1 
4. 4x – 2y = 8 
y = 6x + 9 
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 
• Hand out Practice 3-5 and 3-6 
• CHAPTER TEST FRIDAY!
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 slope-intercept 
form. 
y = –2x + 1 
4. the line through (5, –1) 
with slope in point-slope 
form. 
2 
5 
y + 1 = (x – 5)
Lesson Review 
Determine whether the lines are parallel, 
intersect, or coincide. 
5. y – 3 = – x, 
intersect 
1 
2 y – 5 = 2(x + 3) 
6. 2y = 4x + 12, 4x – 2y = 8 
parallel

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3009 review of slopes and lines

  • 1. Geometry Drill 12/1/14 PUT HW ON THE CORNER OF YOUR DESK! Find the value of m. 1. 2. 3. 4. undefined 0
  • 2. 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 Solve each equation for y. 3. y – 6x = 9 b = 1 4. 4x – 2y = 8 y = 6x + 9 y = 2x – 4
  • 3. Objectives Graph lines and write their equations in slope-intercept and point-slope form. Classify lines as parallel, intersecting, or coinciding.
  • 4. Vocabulary point-slope form slope-intercept form
  • 5.
  • 6.
  • 7. Remember! A line with y-intercept b contains the point (0, b). A line with x-intercept a contains the point (a, 0).
  • 8. 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.
  • 9.
  • 10. Caution! Four given points do not always determine two lines. Graph the lines to make sure the points are not collinear.
  • 11. Assignment • Hand out Practice 3-5 and 3-6 • CHAPTER TEST FRIDAY!
  • 12. 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)
  • 13. 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 slope-intercept form. y = –2x + 1 4. the line through (5, –1) with slope in point-slope form. 2 5 y + 1 = (x – 5)
  • 14. Lesson Review Determine whether the lines are parallel, intersect, or coincide. 5. y – 3 = – x, intersect 1 2 y – 5 = 2(x + 3) 6. 2y = 4x + 12, 4x – 2y = 8 parallel