Slope Worksheet Page 2
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1
2
3−
4
−
=
+
y
2
(
x
) 1
Clear the fraction.
5
5y – 10 = –4(x + 1)
Distribute.
5y – 10 = –4x – 4
Write in standard form.
4x + 5y = 6
Section 19-3: Slope-Intercept Form of an Equation
Learning Outcome 1
Find the slope and y-intercept of the equation: 2x – 5y = 10
2x – 5y = 10
Write the equation in slope-intercept form. (Solve for y.)
–5y = –2x + 10
−
−
5
y
2
x
10
=
+
Divide by –5.
−
−
−
5
5
5
2
=
−
y
x
2
5
2
Slope =
; y-intercept = (0,–2)
5
Learning Outcome 2
Write the equation of a line that has slope –3 and y-intercept (0,4). Write the equation in standard
form.
y = mx + b
Write the equation in slope-intercept form.
y = –3x + 4
Write in standard form.
3x + y = 4
Section 19-4: Parallel and Perpendicular Lines
Learning Outcome 1
Find the equation of a line that passes through the point (1,2) and is parallel to the line whose
equation is y = 3x + 2. Write the new equation in slope-intercept form.
Use the given equation to find the slope of the new line. The slope of the equation is 3 and because
the two lines are parallel, the slope of the new line is 3.
Use the point-slope form of a linear equation.
y – y
= m(x – x
)
Substitute values.
1
1
y – 2 = 3(x – 1)
Simplify.
y – 2 = 3x – 3
Solve for y.
y = 3x – 1
Learning Outcome 2
Identify the equations that have perpendicular lines as their graphs.
1
1
=
+
=
−
−
(a) y = 3x + 2
(b)
y
x
7
(c)
y
x
8
3
3
(a) and (c) have graphs that are perpendicular lines. Their slopes are negative reciprocals.
Find the equation of a line that passes through the point (3, –1) and is perpendicular to the line that
has an equation of y = –3x + 2. Write the equation in slope-intercept form.
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