Write the equation of the line that is parallel to y = -1/2x-3 and passes through point (5, 2).
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Answered by
1
Answer:
I don't know but can I take points sorry
Answered by
2
We know that the slope of the line is 4 units down for every 1 unit to the right, and that the line intercepts the y axis at 3. A parallel line will have a different y intercept but the same slope, so we already know that the equation must be
y
=
−
4
x
+
b
, with b as the y intercept.
We also know that the line passes through point (-5,2). We can thus substitute x and y for -5 and 2 respectively, to find b.
2
=
(
−
4
⋅
2
)
+
b
Simplify the equation
2
=
−
8
+
b
Add 8 to both sides
10
=
b
b
=
10
y
=
−
4
x
+
10
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