Select the equations of the lines that are parallel to the line whose equation is y = 3x + 5.
1 answer:
The slope-intercept form of the equation of a straight line:
y=mx+b
m=slope
Therefore; in this equation (y=3x+5); m=3
a)
6x+2y=12
2y=-6x+12
y=-6/2 x + 12/2
y=-3x+6 ⇒ m=-3≠3 (this line is not parallel to "y=3x+5")
b)
-3x+y=8
y=3x+8 ⇒ m=3 (this line es parallel to "y=3x+5")
c)
3y=9x
y=9/3 x
y=3x ⇒ m=3 (this line is parallel to "y=3x+5")
d)
y=-x ⇒ m=-1≠3 (this line is not parallet to "y=3x+5")
Therefore; "-3x+y=8" and "3y=9x" are parallel to "y=3x+5".
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