5.4 Writing Equations for Perpendicular Lines Practice
Name:_______________________
Hour: _________
Topic 1: Writing Equations for Perpendicular Lines (Using Slope-Intercept Form)
Write an equation in SLOPE-INTERCEPT form using the given information.
1. A line that passes through
and is perpendicular(7, 2)
to the line described by
𝑦 = 7𝑥 + 5
2. A line that passes through
and is perpendicular to(3, 4)
the line described by
𝑦 = 3𝑥 + 6
3. A line that passes through
and is perpendicular( 5, 6)
to the line described by
𝑦 = 5𝑥 + 4
4. A line that passes through
and is perpendicular( 7, 5)
to the line described by
𝑦 = 7
8 𝑥 5
Topic 2: Writing Equations for Perpendicular Lines (Using Point-Slope Form)
Write an equation in POINT-SLOPE form using the given information.
5. A line that passes through
and is perpendicular to(4, 5)
the line described by
𝑦 = 1
3 𝑥 + 4
6. A line that passes through
and is perpendicular to(2, 7)
the line described by
𝑦 = 2
5 𝑥 3
1
Y nett
2 47 6
3
7. A line that passes through
and is perpendicular to(9, 11)
the line described by
𝑦 = 𝑥 7
8. A line that passes through
and is perpendicular to(3, 1)
the line described by
𝑦 = 1
4 𝑥 8
Topic 3: Writing Equations for Perpendicular Lines with Zero and Undefined Slopes
Write an equation using the given information. Feel free to graph the
original equation for a better visualization of your new equation.
9. A line that passes through
and is perpendicular to(3, 1)
the line described by 𝑦 = 2
10. A line that passes through
and is perpendicular to(4, 6)
the line described by 𝑦 = 5
11. A line that passes through
and is perpendicular to( 3, 5)
the line described by 𝑥 = 4
12. A line that passes through
and is perpendicular to(2, 1)
the line described by 𝑥 = 2
2
4 11 1 x D Y F 46 3
3 7 4
J J
1 5
J J