a. The standard form of an equation of a line is ___________, where A and B are not both zero and C is a constant. b. A line defined by an equation y = k , where k is a constant is a (horizontal/vertical) line. c. A line defined by an equation x = k , where k is a constant is a (horizontal/vertical) line. d. Given the slope-intercept form of an equation of a line, y = m x + b , the value of m is the ________ and b is the _________. e. Given a point ( x 1 , y 1 ) on a line with slope m, the point-slope formula is given by _________.
a. The standard form of an equation of a line is ___________, where A and B are not both zero and C is a constant. b. A line defined by an equation y = k , where k is a constant is a (horizontal/vertical) line. c. A line defined by an equation x = k , where k is a constant is a (horizontal/vertical) line. d. Given the slope-intercept form of an equation of a line, y = m x + b , the value of m is the ________ and b is the _________. e. Given a point ( x 1 , y 1 ) on a line with slope m, the point-slope formula is given by _________.
Solution Summary: The author explains how the standard form of an equation of a line is underset_Ax+By=C — where A and B are non-zero and
a. The standard form of an equation of a line is ___________, where A and B are not both zero and C is a constant.
b. A line defined by an equation
y
=
k
, where k is a constant is a (horizontal/vertical) line.
c. A line defined by an equation
x
=
k
, where k is a constant is a (horizontal/vertical) line.
d. Given the slope-intercept form of an equation of a line,
y
=
m
x
+
b
, the value of m is the ________ and b is the _________.
e. Given a point
(
x
1
,
y
1
)
on a line with slope m, the point-slope formula is given by _________.
Formula Formula Point-slope equation: The point-slope equation of a line passing through the point (x 1 , y 1 ) with slope m , is given by the following formula: y - y 1 = m x - x 1 Example: The point-slope equation of a line passing through (2, -6) with slope 5 is given by: y - (-6) = 5(x - 2) y + 6 = 5(x - 2)
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