Unit 5 - Analytic Geometry Equation Of A Line In 'Slope Y-Intercept' Form Worksheet Page 29
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31MPM1D1
Unit 5 – Analytic Geometry
Mr. Kwok
Worksheet:
Determining Line Equations
Work out the solution on separate pieces of papers.
1. Determine equations in slope y-intercept form given…
�� = 3, passes through (2, 3)
a.
g.
(3, 4) and (-7, 4)
�� = 3, passes through (-4, 7)
�� = −4, passes through (0, 3)
b.
(-3, 1) and (5, 4)
h.
�� = −5, passes through (7, 2)
c.
i.
(0, -2) and (7, 0)
d.
(5, -6) and (2, 3)
j.
�� =
2
3
e.
k.
(-5, -1) and (4, -7)
�� = −
, passes through (3, 2)
3
2
f.
(2, -2) and (-6, 1)
l.
, passes through (2, -3)
2. Express in slope y-intercept form.
−4�� + 2�� = 20
−3�� + 2�� = 11
a.
−3�� − �� = −4
c.
b.
3. Express in standard form.
2
−3�� + 2�� = −11
�� =
�� − 7
3
d.
e.
Answer:
2
2
Question 1
�� = 3�� − 3
�� =
��
�� =
�� − 2
3
7
a.
e.
i.
3
17
3
5
�� = −5�� + 37
�� =
�� +
�� = −
�� −
8
8
8
4
b.
f.
j.
2
13
�� = −4�� + 3
�� = 4
�� = −
�� −
3
3
c.
g.
k.
3
�� = −3�� + 9
�� = 3�� + 19
�� = −
��
2
d.
h.
l.
3
11
Question 2
�� = 2�� + 10
�� = −3�� + 4
�� =
�� +
2
2
a.
b.
c.
2�� − 3�� − 21 = 0
3�� − 2�� − 11 = 0
d.
e.
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