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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Substitute m = a and
in the point
Why do we represent linear
42. WRITING IN MATH
slope form