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12 Cards in this Set
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- Back
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Point-Slope Form The equation of the line through (x1, y1) with slope m in point-slope form is.. |
(y - y1) / (x - x1) = m becomes y - y1 = m(x - x1) |
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Slope-Intercept Form The equation of a line in slope-intercept form is.. |
y = mx + b Where m is the slope, and (0, b) is the y-intercept. |
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Standard Form The equation of a line in standard form is.. |
Ax + By = C Where A, B, and C are real numbers with A and B not both zero. |
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To find the slope and y-intercept of a line written in standard form, we convert the equation to.. |
slope-intercept form |
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Every line has an equation written in.. |
standard form |
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To graph a line, we can start at the _____ and count off the _____ and _____ to get a second point on the line. |
y-intercept, rise, run |
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Find an equation for the line through (-2, 5) with slope -3 and solve it for y. |
Page 171, example 1 y = -3x - 1 |
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Find the equation of the line through the given pair of points and solve it for y. a) (3, 5) and (4, 7) b) (3, -2) and (-1, 1) |
Page 172, example 2 a) y = 2x - 1 b) y = 1(3/4)x + 1/4 |
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In each case find the equation for line l and then solve it for y. a) Line l goes through (2, 0) and is perpendicular to the line through (5, -1) and (-1, 3). b) Line l goes through (-1, 6) and is parallel to the line through (2, 4) and (7, -11). |
a) y = (3/2)x - 3 b) y = -3x + 3 |
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Write the slope-intercept form of the equation of the line shown in Fig. 3.21 |
y = -(2/3)x + 3 |
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Write the equation y = (1/2)x - (3/4) in standard form using only integers and a positive coefficient for x. |
2x - 4y = 3 |
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