Determine if the equations represent lines that are parallel, perpendicular, or neither.
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Answer:
lines are parallel and m = 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
14x = 2y - 6 or
2y - 6 = 14x ( add 6 to both sides )
2y = 14x + 6 ( divide through by 2 )
y = 7x + 3 ← in slope- intercept form
with slope m = 7
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[tex]\frac{8}{7}[/tex] = y - 7x or
y - 7x = [tex]\frac{8}{7}[/tex] ( add 7x to both sides )
y = 7x + [tex]\frac{8}{7}[/tex] ← in slope- intercept form
with slope m = 7
Since slopes of both lines are equal, both m = 7 then lines are parallel