name date answer key lessons 4.1 to 4.4 practice cc ... · 9. write the equation of a line...

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Name _______________________________________________ Date ________ Lessons 4.1 to 4.4 Practice CC Geometry 1. What is the slope of a line perpendicular to the line whose equation is y = 3x + 4? 2. What is the slope of a line perpendicular to the line whose equation is 2y = -6x + 8? 3. What is the slope of a line that is perpendicular to the line whose equation is 3x + 5y = 4? 4. What is the slope of a line that is parallel to the line whose equation is 3x + 4y = 12? 5. What is the slope of a line that is parallel to the line represented by the equation x + 2y = 3? 6. The slope of line is . What is an equation of a line that is perpendicular to line ? 7. The slope of is and the slope of is . If , determine and state the value of x. 8. Write the equation of a line parallel to the line whose equation is 3x – 2y = 7 and passes through the point (8, -1). Answer key

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Page 1: Name Date Answer key Lessons 4.1 to 4.4 Practice CC ... · 9. Write the equation of a line perpendicular to the line whose equation is 2x + 3y = 12 and passes through the point (10,

Name _______________________________________________ Date ________ Lessons 4.1 to 4.4 Practice CC Geometry 1. What is the slope of a line perpendicular to the line whose equation is y = 3x + 4?

2. What is the slope of a line perpendicular to the line whose equation is 2y = -6x + 8?

3. What is the slope of a line that is perpendicular to the line whose equation is 3x + 5y = 4?

4. What is the slope of a line that is parallel to the line whose equation is 3x + 4y = 12?

5. What is the slope of a line that is parallel to the line represented by the equation x + 2y = 3?

6. The slope of line is . What is an equation of a line that is perpendicular to line ?

7. The slope of is and the slope of is . If , determine and state the value of x.

8. Write the equation of a line parallel to the line whose equation is 3x – 2y = 7 and passes through the

point (8, -1).

Answer key

Page 2: Name Date Answer key Lessons 4.1 to 4.4 Practice CC ... · 9. Write the equation of a line perpendicular to the line whose equation is 2x + 3y = 12 and passes through the point (10,

9. Write the equation of a line perpendicular to the line whose equation is 2x + 3y = 12 and passes through the point (10, 15).

10. Line segment CD with endpoints C(-4, 2) and D(6, -13) lies in the coordinate plane. The segments will be dilated with a scale factor of 1/4 and a center at the origin to create 𝐶′𝐷′̅̅ ̅̅ ̅̅ . What is the equation of 𝐶′𝐷′̅̅ ̅̅ ̅̅ ?

11. Given two lines whose equations are 3x + y – 8 = 0 and -2x + by + 9 = 0, determine the value of b such that the two lines will be perpendicular.

12. A line having a slope of 34 passes through the point (-8, 4).

a. Write the equation of this line in slope-intercept form.

b. Write the equation of this line in point-slope form.

13. What is an equation for the line that passes through the coordinates (2, 0) and (0, 3)?

Page 3: Name Date Answer key Lessons 4.1 to 4.4 Practice CC ... · 9. Write the equation of a line perpendicular to the line whose equation is 2x + 3y = 12 and passes through the point (10,

14. Which equation represents the line that passes through the points (-1, -2) and (3, 10)? 15. Given the region shown:

a. Name three points on the boundary of the region.

b. Write the inequality describing the 𝑥-values.

c. Write the inequality describing the 𝑦-values.

d. Write this as a system of equations. 16. Graph the following lines:

a. 2y – 3x = 10 b. x = 8 c. y = -6 17. Line is mapped onto line m by a dilation centered at the origin with a scale factor of 3. The equation

of line is 2x – 6y = 8. Determine and state an equation for line m.

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