Algebra 2 2-4 Independent Practice: More About Linear Equations

by Matthew Richardson

| 13 Questions1

1

10

A

B

C

D

2

2

10

A

B

C

D

3

30

Graphing: What are the intercepts of 3x + y = 6? Graph the equation. Be sure to include relevant graph detail: label axes, indicate units and scale on both axes, and use arrows to represent end behavior, as appropriate.

4

4

10

A

B

C

D

5

5

10

A

B

C

D

6

10

Vocabulary: Tell whether the equation is in slope-intercept, point-slope, or standard form.

y + 2 = -2(x - 1)

slope-intercept form

standard form

point-slope form

7

10

Vocabulary: Tell whether the equation is in slope-intercept, point-slope, or standard form.

y = -ΒΌx + 9

slope-intercept form

standard form

point-slope form

8

10

Vocabulary: Tell whether the equation is in slope-intercept, point-slope, or standard form.

-x - 2y = 1

slope-intercept form

standard form

point-slope form

9

10

Vocabulary: Tell whether the equation is in slope-intercept, point-slope, or standard form.

y - 3 = 4x

slope-intercept form

standard form

point-slope form

10

10

Understanding: Which form would you use to write the equation of a line if you knew its slope and x-intercept? Explain.

11

10

Understanding: If the intercepts of a line are (a, 0) and (0, b), what is the slope of the line? Assume that a and b are both greater than 0.

Enter only the slope, in simplified fraction form.

12

10

Error Analysis: Your friend says the line y = -2x + 3 is perpendicular to the line x + 2y = 8. Do you agree? Explain.

No; After converting the second equation to slope-intercept form, we can see that its slope is -1/2. Since -2 and -1/2 are not opposite reciprocals, the lines are not perpendicular.

Yes; After converting the second equation to slope-intercept form, we can see that its slope is 1/2. Since -2 and 1/2 are opposite reciprocals, the lines are perpendicular.

13

10

Reflection: Math Success

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