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irina [24]
3 years ago
11

PLEASE I NEED HELP WITH THIS ​

Mathematics
1 answer:
topjm [15]3 years ago
6 0

Answer:

perpendicular

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 )

Given

3x = y - 5 ( add 5 to both sides )

3x + 5 = y ← in slope- intercept form

with slope m = 3

------------------------------------------------

9y + 4x = x - 9 ( subtract 4x from both sides )

9y = - 3x - 9 ( divide all terms by 9 )

y = - \frac{1}{3} x - 1 ← in slope- intercept form

with slope m = - \frac{1}{3}

-----------------------------------------------

Parallel lines have equal slopes

The product of the slopes of perpendicular lines = - 1

Thus

the slopes are not equal, thus not parallel lines.

3 × - \frac{1}{3} = - 1 , hence lines are perpendicular

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