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Slope-Intercept Form y = mx + b Directions: Write the equation of the line described below. 1.
m = –3
b=2
6.
Slope = –5
y-intercept = ¼
2.
m=1
b = –1
7.
Slope = –2
y-intercept = 7
3.
m=0
b=6
8.
Slope = 3
y-intercept = –4
4.
m = 10
b=0
9.
Slope = ¼
y-intercept = –½
5.
m=½
b = –4
10. Slope = –9
y-intercept = –7
Point-Slope Form y – y1 = m(x – x1) Directions: Write the equation of the line that passes through the give point and has the given slope. 1.
(–1, –3), m = 4
6.
(–3, 4), slope = 6
2.
(–6, 2), m = –5
7.
(12, 2), slope = –7
3.
(–10, 0), m = 2
8.
(8, –1), slope = 0
4.
(–8, –2), m = 3
9.
(5, –12), slope = –11
5.
(–4, 3), m = –6
10. (–1, 1), slope = –½
Directions: Write the equation of the line that is parallel to the given line and passes through the given point. 1. y = 2x – 11, (3, 4)
2. y = ¼ x + 4, (–4, –4)
3. y = 5x + 6, (–2, 7)
4. y = –9x – 3, (0, 5)
5. y = –½ x – 6, (8, –1)
Directions: Write the equation of the line that is perpendicular to the given line and passes through the given point. 6. y = 2x – 11, (3, 4)
7. y = ¼ x + 4, (–4, –4)
8. y = 5x + 6, (–2, 7)
9. y = –9x – 3, (0, 5)
10. y = –½ x – 6, (8, –1)