| |
| 1) What general equation represents the slope-intercept form of a line?
|
|
4000 character(s) left
Your answer is too long. |
|
| |
|
| 2) In the general slope-intercept equation, what variable represents the slope and what variable represents the intercept?
|
|
|
|
| |
|
In the following questions, identify the slope (m) and y-intercept of the line (b). State the y-intercept as an ordered pair. (Be sure to place the equation in slope-intercept form first, if needed, and then answer the questions.)
|
 |
|
| |
| 3) What is the slope and y-intercept for the given equation?
|
 |
4000 character(s) left
Your answer is too long. |
|
| |
|
| 4) What is the slope and y-intercept for x + y = –15?
Hint: Solve the equation for y first.
|
|
4000 character(s) left
Your answer is too long. |
|
| |
|
| 5) What is the slope and y-intercept for 3x + 2y = 16?
Hint: Solve the equation for y first.
|
|
4000 character(s) left
Your answer is too long. |
|
| |
|
| 6) Graph the given linear equation on paper. Describe the appearance of the graph of by giving the y-intercept, the slope, and if the graph is rising or falling from left to right and why.
|
 |
20000 character(s) left
Your answer is too long. |
|
|
Attachments |
|
Parent Functions and Transformations
|
|
|
| |
| 7) Which of the following is the parent function for linear equations?
|
 |
|
|
| |
|
| 8) Describe the appearance of the graph of the equation given as compared to the parent function. Discuss the similarities and/or differences of the slope and y-intercept. |
 |
20000 character(s) left
Your answer is too long. |
|
|
Attachments |
|
| 9) Describe the appearance of the graph of the equation given as compared to the parent function. Discuss the similarities and/or differences of the slope and y-intercept.
|
 |
20000 character(s) left
Your answer is too long. |
|
|
Attachments |
|
| 10) When looking at a linear graph in the coordinate plane, how can the slope be determined as positive or negative?
|
|
20000 character(s) left
Your answer is too long. |
|
|
Attachments |
|
Graphing a Line Using the x- and y-intercepts
|
|
|
| |
| 11) What is the standard form for a linear equation?
|
|
4000 character(s) left
Your answer is too long. |
|
| |
|
| 12) In general, how are the x- and y-intercepts found for a linear equation?
|
|
20000 character(s) left
Your answer is too long. |
|
|
Attachments |
|
| 13) Define the following: (a) y-intercept and (b) x-intercept
|
|
20000 character(s) left
Your answer is too long. |
|
|
Attachments |
|
| 14) What are the x-intercept and the y-intercept of the equation, 2x + y = 13? Describe how to graph this line using the intercepts.
|
|
20000 character(s) left
Your answer is too long. |
|
|
Attachments |
|
| 15) What are the x-intercept and the y-intercept of the equation, –16x + y = –4 ? Describe how to graph this line using the intercepts.
|
|
20000 character(s) left
Your answer is too long. |
|
|
Attachments |
|
| |
| 16) When given the slope and a point on the line, explain how to use the point-slope formula to find the equation of that line.
|
|
20000 character(s) left
Your answer is too long. |
|
|
Attachments |
|
In the following questions, determine the equation for the line that fits each description. Express the equation in slope-intercept form.
|
|
|
| |
| 17) What is the equation of a line that contains the point (2, –3) and has a slope of (–1/2)?
|
|
4000 character(s) left
Your answer is too long. |
|
| |
|
| 18) What is the equation of a line that crosses the y-axis at 3 and has a slope of 4?
|
|
4000 character(s) left
Your answer is too long. |
|
| |
|
In the following problems, determine an equation for the line that contains each pair of points. Express the equation in slope-intercept form.
|
|
|
| |
| 19) What is the equation of a line that contains points (–4, –3) and (–2, –6)?
Hint: Find the slope first using m = (y2 – y1)/(x2 – x1) Then, use the point slope formula to find the equation y – y1 = m(x – x1).
|
 |
|
|
| |
|
| 20) What is the equation of a line that contains points (1, 7) and (5, 3)?
Hint: Find the slope first using m = (y2 – y1)/(x2 – x1) Then, use the point slope formula to find the equation y – y1 = m(x – x1).
|
|
4000 character(s) left
Your answer is too long. |
|
| |
|
Equations of Horizontal and Vertical Lines
|
|
|
| |
| 21) Describe the slope of a horizontal line and state the general equation.
|
|
20000 character(s) left
Your answer is too long. |
|
|
Attachments |
|
| 22) Describe the slope of a vertical line and state the general equation.
|
|
20000 character(s) left
Your answer is too long. |
|
|
Attachments |
|
In the following problems, describe the appearance of the graphs with graphing. Include information about the slope and intercepts.
|
|
|
| |
| 23) x = –6
|
|
20000 character(s) left
Your answer is too long. |
|
|
Attachments |
|
| 24) y = 5
|
|
20000 character(s) left
Your answer is too long. |
|
|
Attachments |
|
| 25) Which of the following equations are true about the given graphs? Click here to view the graphs.
|
|
|
|
| |
|
Parallel and Perpendicular Lines
|
|
|
| |
| 26) How are the slopes of parallel lines related?
|
|
4000 character(s) left
Your answer is too long. |
|
|
Attachments |
|
| 27) How are the slopes of perpendicular lines related?
|
|
4000 character(s) left
Your answer is too long. |
|
|
Attachments |
|
In the following problems, find the slope of a line that is perpendicular to the given lines. (Be sure to express the equation in slope-intercept form first.)
|
|
|
| |
| 28) –5x + 2y = 7
Hint: If m is the slope –1/m is the slope perpendicular to m.
|
|
4000 character(s) left
Your answer is too long. |
|
| |
|
| 29) 12x – 3y = 9
Hint: If m is the slope –1/m is the slope perpendicular to m.
|
|
4000 character(s) left
Your answer is too long. |
|
| |
|
In the following problems, find an equation for each line according to the given information. Express the equation in slope-intercept form.
|
|
|
| |
| 30) The line contains the point (–3, 5) and is perpendicular to the line y = 3x – 4. |
|
4000 character(s) left
Your answer is too long. |
|
| |
|
| |
| 31) Solve for “z.”
Click here to review the unit content explanation for Expressions, Equations, and Inequalities.
|
 |
4000 character(s) left
Your answer is too long. |
|
| |
|
| 32) Simplify: 4(3xy + 5z) – 7(xy + 2z)
Click here to review the unit content explanation for Expressions, Equations, and Inequalities.
|
|
4000 character(s) left
Your answer is too long. |
|
| |
|
| 33) If you were directed by your school to complete Offline Activities for this course, please enter the information on the Log Entry form. |
|
| No offline activities found |
0 Hour(s) & 0 Minute(s)
|
|
|
Attachments |
|