algebra 2 chapter 2.4 name practice quiz limestone

Algebra 2 – Chapter 2.4 NAME ________________________________________________ Practice Quiz Limestone Community High School

1

Section 2-4 Writing Linear Equations

1. Write an equation in slope-intercept form when:

𝒔𝒍𝒐𝒑𝒆 =𝟏

𝟑, 𝒚 − 𝒊𝒏𝒕𝒆𝒓𝒄𝒆𝒑𝒕 = −𝟐

2. Write the equation of the line shown on the graph below.

Section 2-4 Writing Linear Equations

3. Re-write in Slope-Intercept Form.

−𝟑𝒙 + 𝟐𝒚 = 𝟏𝟎

4. The membership to your local video store includes onetime cost of $20 and the DVD rental rate is $5 per DVD. Write an equation that models the total amount of money you will spend on DVD rentals this year.

2

Section 2-4 Writing Linear Equations

5. Write an equation of the line that passes through the point and has the given slope. 𝒚 = 𝒎(𝒙 − 𝒙𝟏) + 𝒚𝟏

(𝟐, 𝟓); 𝒎 = 𝟑

6. Write an equation of the line that passes through the point and has the given slope. 𝒚 = 𝒎(𝒙 − 𝒙𝟏) + 𝒚𝟏

(−𝟏, 𝟒); 𝒎 = −𝟏

Section 2-4 Writing Linear Equations

7. Write an equation of the line that passes through the points. (Hint: find the slope first)

(𝟑, 𝟕), (−𝟏, 𝟑)

8. Write an equation of the line that passes through the points. (Hint: find the slope first)

(−𝟓, 𝟑), (𝟎, −𝟕)

3

Section 2-4 Writing Linear Equations

9. Give the slope of any line parallel to:

𝒚 =𝟏�̅�

𝒙 + 𝟓

10. Calculate the slopes of both lines. Tell if the lines are parallel, perpendicular, or neither.

𝒎 =𝒚𝟐 − 𝒚𝟏

𝒙𝟐 − 𝒙𝟏

Line 1: through (1, 1) and (5, 2) Line 2: through (−5, 1) and (−4, −3)

Section 2-4 Writing Linear Equations

11. Give the slope of any line perpendicular to:

𝒚 =𝟏�̅�

𝒙 + 𝟓

12. Calculate the slopes of both lines. Tell if the lines are parallel, perpendicular, or neither.

𝒎 =𝒚𝟐 − 𝒚𝟏

𝒙𝟐 − 𝒙𝟏

Line 1: through (5, 2) and (5, 6) Line 2: through (4, 1) and (1, 1)

4

Section 2-4 Writing Linear Equations

13. Write the equation of the line that is parallel to the given line, and passes through the given point.

𝒚 = −𝒙 + 𝟔, 𝒑𝒂𝒔𝒔𝒊𝒏𝒈 𝒕𝒉𝒓𝒐𝒖𝒈𝒉 (−𝟑, −𝟏)

14. Write the equation of the line that is parallel to the given line, and passes through the given point.

𝒚 =𝟏

𝟐𝒙 − 𝟏, 𝒑𝒂𝒔𝒔𝒊𝒏𝒈 𝒕𝒉𝒓𝒐𝒖𝒈𝒉 (𝟐, 𝟔)

Section 2-4 Writing Linear Equations

15. Write the equation of the line that is perpendicular to the given line, and passes through the given point.

𝒚 = 𝟐𝒙 + 𝟒, 𝒑𝒂𝒔𝒔𝒊𝒏𝒈 𝒕𝒉𝒓𝒐𝒖𝒈𝒉 (𝟐, −𝟐)

16. Write the equation of the line that is perpendicular to the given line, and passes through the given point.

𝒚 = −𝟏

𝟑𝒙 + 𝟐, 𝒑𝒂𝒔𝒔𝒊𝒏𝒈 𝒕𝒉𝒓𝒐𝒖𝒈𝒉 (𝟏, −𝟓)