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

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)?

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.