algebra 2 chapter 2.4 name practice quiz limestone
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Algebra 2 – Chapter 2.4 NAME ________________________________________________ Practice Quiz Limestone Community High School
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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.
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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)
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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)
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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)