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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)
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.
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.
To find the slope and y-intercept of a line written in standard form, we convert the equation to..
slope-intercept form
Every line has an equation written in..
standard form
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
Find an equation for the line through (-2, 5) with slope -3 and solve it for y.
Page 171, example 1
y = -3x - 1
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
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
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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