# Slope Worksheet

Section 19-1: Slope and Distance
Learning Outcome 1
Find the slope of the line passing (4,−2) and (1,7).
y
y
rise
2
7
9
=
=
=
=
=
2
1
m
6
run
x
x
4
1
3
2
1
Learning Outcome 2
Examine the coordinate points and indicate which points lie on the same vertical line and which lie on
the same horizontal line.
A(5,−2)
B(8,−7)
C(5,−10)
D(3,−2)
E(−1,−2)
Points A and C lie on the same vertical line that cuts the x-axis at 5 units to the right of the origin.
Points A, D, and E lie on the same horizontal line; they each have a y-coordinate of −2.
Section 19-2: Point-Slope Form of an Equation
Learning Outcome 1
1
Find the equation of a line that passes through the point (−1,−2) and has slope of
. Write the
3
equation in standard form. Use the point-slope form of an equation.
y − y
= m(x − x
)
Substitute values.
1
1
1
y − (−2) =
(x − (−1))
Simplify.
3
1
y + 2 =
(x+1)
Clear the fraction.
3
3y + 6 = x + 1
Write in standard form.
–x + 3y = -5
Multiply by –1.
x – 3y = 5
Learning Outcome 2
Find the equation of a line that passes through the points (-1,2) and (4,-2). Write the equation in
standard form. Find the slope, then use the point-slope form of a linear equation.
y
y
=
m
2
1
Substitute.
x
x
2
1
2
2
=
m
Simplify.
4
(
) 1
4
=
m
5
4
y – y
= m(x – x
)
Use slope
and point (−1,2).
1
1
5
4
=
y
2
(
x
(
1
))
Simplify.
5