1. The equation of a line in standard form is ax + by =c, where both a and b cannot be zero, and a, b, and e are real numbers. > If b is not equal to zero, then -a/b is the slope of the line. > If a is equal to zero, then it is a horizontal line > ifb is equal to zero, then it is a vertical line. - The slope of a vertical line is undefined. > Two lines are parallel if they have the same slope or both are vertical lines. > Two lines are perpendicular if either one of the lines is horizontal and the other is vertical or the product of their slopes is -1 Consider the system of linear equations ax + by = m Cx + dy = n d -b m a n eed to store the values of or y ad – bc dm - bn alx +bly cl and a2x +b2y c2 1 = ka2, b1= kb2, and el = kc2 for ad - bc - ст + an ad - bc int of intersection. ariables of lineType. dm -bn x = ad - bc an - ст y = and ad - bc
1. The equation of a line in standard form is ax + by =c, where both a and b cannot be zero, and a, b, and e are real numbers. > If b is not equal to zero, then -a/b is the slope of the line. > If a is equal to zero, then it is a horizontal line > ifb is equal to zero, then it is a vertical line. - The slope of a vertical line is undefined. > Two lines are parallel if they have the same slope or both are vertical lines. > Two lines are perpendicular if either one of the lines is horizontal and the other is vertical or the product of their slopes is -1 Consider the system of linear equations ax + by = m Cx + dy = n d -b m a n eed to store the values of or y ad – bc dm - bn alx +bly cl and a2x +b2y c2 1 = ka2, b1= kb2, and el = kc2 for ad - bc - ст + an ad - bc int of intersection. ariables of lineType. dm -bn x = ad - bc an - ст y = and ad - bc
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Transcribed Image Text:1. The equation of a line in standard form is ax + by = c, where both a and b cannot be zero, and a, b,
and e are real numbers.
> If b is not equal to zero, then -a/b is the slope of the line.
> If a is equal to zero, then it is a horizontal line
> ifb is equal to zero, then it is a vertical line.
> The slope of a vertical line is undefined.
> Two lines are parallel if they have the same slope or both are vertical lines.
> Two lines are perpendicular if either one of the lines is horizontal and the other is vertical or the
product of their slopes is-1
Consider the system of linear equations
ax + by = m
Cx + dy = n
d -b
m
a
eed to store the values of
or
y
ad – bc
dm – bn
alx+bly = cl and a2x +b2y = c2
1 = ka2, bl= kb2, and el = ke2 for
ad - bc
ст + an
ad - bc
int of intersection.
ariables of lineType.
dm - bn
x =
an - ст
y =
and
ad - bc
ad - bc
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