Slope Worksheet Page 3

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The slope of the given equation is –3.
1
+
The slope of the new equation is
3
Use the point-slope form of the equation.
y – y
= m(x – x
)
Substitute values.
1
1
1
=
y
(
) 1
(
x
(
1
))
Simplify.
3
1
+
=
+
y
1
(
x
) 1
Distribute.
3
1
1
+
=
+
y
1
x
3
3
1
1
=
+
y
x
1
3
3
1
2
=
y
x
3
3
Section 19-5: Distance and Midpoints
Learning Outcome 1
Use the distance formula to find the distance between the points (2,1) and (0,-3). Write in simplest
radical form and as a decimal rounded to the hundredths.
=
+
2
2
d
(
x
x
)
(
y
y
)
Substitute.
2
1
2
1
=
2
+
2
d
0 (
) 2
(
3
) 1
Simplify groupings.
=
+
2
2
d
(
) 2
(
) 4
Square each term.
=
4 +
d
16
Add.
d = 20 = 4 • 5
Simplify radical.
=
=
d
2
5
. 4
47
Learning Outcome 2
Find the midpoint of the segment joining the points (5,4) and (3,2).
x 1 + x 2
y 1 + y 2
,
Substitute in the midpoint formula.
2
2
5 + 3
4 + 2
,
Simplify.
2
2
8
6
,
Reduce.
2
2
(4, 3)
Coordinates of the midpoint.

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