Slopes, Equations of lines Worksheet
1. Find the slope of the line that goes through the following points
● (1,5) 𝑎𝑛𝑑 (7,17)
● (−1, −9) 𝑎𝑛𝑑 (−3, −5)
● (2,9) 𝑎𝑛𝑑 (4,7)
● (−9,4) 𝑎𝑛𝑑 (10,6)
2. Find the equation of the line that goes through the point (-7, 8) and has a slope
of 10.
3. Find the equation of the line that goes through the point (1, 4) and has a slope
1
of .
2
4. Find the equation of the line that goes through the points (5, 7) and (1, 4).
5. Find the equation of the line that goes through the points (11, 13) and (8, 11).
6. Find the equation of the line that is parallel to the line 2𝑥 + 4𝑦 = 10 and goes
through the point (1, 2).
7. Find the equation of the line that is parallel to the line −2𝑥 + 3𝑦 = 5 and goes
through the point (1, 1).
Created by Ivan Canales, Senior Tutor, San Diego City College. [email protected]
8. Find the equation of the line that is perpendicular to the line 4𝑦 + 2𝑥 = 9 and
goes through the point (9, 0).
9. Find the equation of the line that is perpendicular to the line 7𝑥 + 5𝑦 = 3 and
goes through the point (4, 5).
10. Find the equation of the line that is perpendicular to −2𝑥 + 𝑦 = 8 and goes
through the point (7, 8).
11. Find the equation of the line that is perpendicular to 𝑥 = 8 and goes through
the point (5, 6).
12. Find the equation of the line that is perpendicular to 𝑦 = 5 and goes through
the point (10, -8).
13. Find the equation of a line with undefined slope and goes through (9, 8).
Created by Ivan Canales, Senior Tutor, San Diego City College. [email protected]