Writing Linear Equations Worksheet With Answer Key Page 15

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SOLUTION:  
Sample answer: Sometimes; while the two sets of
parallel and perpendicular lines will always form a
2-4 Writing Linear Equations
quadrilateral with four 90º angles, that figure will
 
always be a rectangle, but not necessarily a square.
38.  CHALLENGE Given
39.  REASONING Write y = ax + b in point-slope form.
 with vertices A(a,
b), B(c – a, d), C(c + a, d), and D(c, b), write an
SOLUTION:  
equation of a line perpendicular to diagonal
 that 
Substitute y = 0 in the equation y = ax + b.
contains A.
 
SOLUTION:  
Substitute
 and 
 in
the slope formula
 
 
 
.
 in the point 
Substitute m = a and
 
slope form
 
 
.
 
 
Thus, slope of diagonal
 is 
.
 
 
Slope of the line perpendicular to the diagonal
 is 
40.  OPEN ENDED Write the equations of two parallel
.
lines with negative slopes.
 
SOLUTION:  
y = –2x + 3 and y = –2x – 1
Substitute m =
 and 
 in the point
slope form
41.  REASONING Write an equation in point-slope form
 
of a line with an x-intercept of c and y-intercept of d.
 
.
SOLUTION:  
 
Substitute
 and 
 in the
slope formula
 
 
.
 
 
 
39.  REASONING Write y = ax + b in point-slope form.
Substitute
 and 
 in the point 
SOLUTION:  
Substitute y = 0 in the equation y = ax + b.
slope form
 
 
 
.
 
 
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Page 15
 
Substitute m = a and
 in the point 
Why do we represent linear
42.  WRITING IN MATH
slope form

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