Writing Equations In Point-Slope Form Worksheet
ADVERTISEMENT
1
2
3
4
5
6Writing Equations in
Writing Equations in
Point-Slope Form
Point-Slope Form
Then
Now
Why?
1
You wrote linear
Write equations of
Most humane societies have foster homes
equations given
lines in point-slope
for newborn puppies, kittens, and injured or
either one point and
form.
ill animals. During the spring and summer,
the slope or two
a large shelter can place 3000 animals in
2
Write linear equations
points.
homes each month.
(Lesson 4-2)
in different forms.
If a shelter had 200 animals in foster
homes at the beginning of spring, the
number of animals in foster homes at the
end of the summer could be represented
by y = 3000x + 200, where x is the
number of months and y is the number
of animals.
1
New
Vocabulary
Point-Slope Form
An equation of a line can be written in point-slope form
when given the coordinates of one known point on a line and the slope of that line.
point-slope form
Key
Concept
Point-Slope Form
Words
y
The linear equation y
y
= m(x
x
) is written in point-
1
1
slope form, where ( x
, y
) is a given point on a nonvertical
1
1
line and m is the slope of the line.
( x, y )
Virginia SOL
i
i
i
S
S
S
S
S
S
O
O
L
L
L
L
L
L
( x
)
, y
A.6.b The student will graph
Symbols
1
1
y - y
= m(x - x
)
linear equations and linear
1
1
inequalities in two variables,
including writing the equation
of a line when given the graph
x
of the line, two points on the
line, or the slope and a point
on the line.
Example 1
Write and Graph an Equation in Point-Slope Form
Write an equation in point-slope form for the line that passes through ( 3, -2 )
_
1
with a slope of
. Then graph the equation.
4
y -
y
= m(x -
x
)
y
Point-slope form
1
1
_
_
1
1
y -
(-2)
=
(x - 3)
x
, y
(
3, -2
)
, m =
=
(
)
1
1
4
4
_
1
x
y + 2 =
(x - 3)
Simplify.
4
Plot the point at ( 3, -2 ) and use the slope
to find another point on the line. Draw a
line through the two points.
GuidedPractice
1. Write an equation in point-slope form for the line that passes through
(
-2, 1
)
with a slope of -6. Then graph the equation.
231
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education