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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.
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Vocabulary: Tell whether the equation is in slope-intercept, point-slope, or standard form.
y + 2 = -2(x - 1)
standard form
slope-intercept form
point-slope form
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Vocabulary: Tell whether the equation is in slope-intercept, point-slope, or standard form.
y = -ΒΌx + 9
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.
-x - 2y = 1
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.
y - 3 = 4x
slope-intercept form
standard form
point-slope 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.
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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.
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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.
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.
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.
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Reflection: Math Success
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