Determine whether the lines are parallel, intersect, or coincide y=1/3x+4 x-3y=-12

Mathematics

1 answer:

adell [148]3 years ago

7 0

The slopes of two lines are equal which means that the lines are parallel.

Further explanation:

The slopes of lines are used to find the relationship between two line.

If two lines are parallel, then their slopes will be equal.
If two lines are perpendicular, the product of slopes of both lines will be -1

The standard form of equation of line is:

$y=mx+b$

The coefficient of x is the slope here.

y=1/3x+4

Let m1 be the slope of first line:

$m_1=\frac{1}{3}$

$x-3y=-12\\-3y=-x-12\\-3y=-1(x+12)\\3y=x+12\\\frac{3y}{3}=\frac{x+12}{3}\\y=\frac{x+12}{3}\\y=\frac{x}{3}+\frac{12}{3}\\y=\frac{1}{3}x+4$

Let m2 be the slope of second line

$m_2=\frac{1}{3}$

We can see that:

$m_1=m_2$

The slopes of two lines are equal which means that the lines are parallel.

Keywords: Parallel Lines, Perpendicular Lines

Learn more about lines at:

#LearnwithBrainly

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iogann1982 [59]

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and there are nine times as much white cars (9x white cars) lol

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