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

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Graphing: Consider the graph of the equation below.

3x+y=6

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What are the intercepts of graph of the equation? Select all that apply.

(0,6)

(2,0)

(3,2)

(6,2)

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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.

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Vocabulary: Tell whether the equation is in slope-intercept, point-slope, or standard form.
y + 2 = -2(x - 1)

slope-intercept form

point-slope form

standard form

F.IF.9

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Vocabulary: Tell whether the equation is in slope-intercept, point-slope, or standard form.
y = -\frac{1}{4}x + 9

point-slope form

standard form

slope-intercept form

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Vocabulary: Tell whether the equation is in slope-intercept, point-slope, or standard form.
-x - 2y = 1

point-slope form

slope-intercept form

standard form

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Vocabulary: Tell whether the equation is in slope-intercept, point-slope, or standard form.
y - 3 = 4x

point-slope form

slope-intercept form

standard form

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

A.CED.2

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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. The fraction will include a and b.

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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.

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Reflection: Math Success

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

What are the intercepts of graph of the equation? Select all that apply.

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.

Vocabulary: Tell whether the equation is in slope-intercept, point-slope, or standard form. y + 2 = -2(x - 1)

Vocabulary: Tell whether the equation is in slope-intercept, point-slope, or standard form. y = -\frac{1}{4}x + 9

Vocabulary: Tell whether the equation is in slope-intercept, point-slope, or standard form. -x - 2y = 1

Vocabulary: Tell whether the equation is in slope-intercept, point-slope, or standard form. y - 3 = 4x

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

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. The fraction will include a and b.

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

Reflection: Math Success

What are the intercepts of graph of the equation? Select all that apply.

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.

Vocabulary: Tell whether the equation is in slope-intercept, point-slope, or standard form. y + 2 = -2(x - 1)

Vocabulary: Tell whether the equation is in slope-intercept, point-slope, or standard form. y = -\frac{1}{4}x + 9

Vocabulary: Tell whether the equation is in slope-intercept, point-slope, or standard form. -x - 2y = 1

Vocabulary: Tell whether the equation is in slope-intercept, point-slope, or standard form. y - 3 = 4x

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

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. The fraction will include a and b.

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

Reflection: Math Success

Vocabulary: Tell whether the equation is in slope-intercept, point-slope, or standard form.
y + 2 = -2(x - 1)

Vocabulary: Tell whether the equation is in slope-intercept, point-slope, or standard form.
y = -\frac{1}{4}x + 9

Vocabulary: Tell whether the equation is in slope-intercept, point-slope, or standard form.
-x - 2y = 1

Vocabulary: Tell whether the equation is in slope-intercept, point-slope, or standard form.
y - 3 = 4x

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. The fraction will include a and b.

Vocabulary: Tell whether the equation is in slope-intercept, point-slope, or standard form.
y + 2 = -2(x - 1)

Vocabulary: Tell whether the equation is in slope-intercept, point-slope, or standard form.
y = -\frac{1}{4}x + 9

Vocabulary: Tell whether the equation is in slope-intercept, point-slope, or standard form.
-x - 2y = 1

Vocabulary: Tell whether the equation is in slope-intercept, point-slope, or standard form.
y - 3 = 4x

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. The fraction will include a and b.