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Alex73 [517]
3 years ago
9

The graphs of the two lines 4x=3y+23 and 4y+3x= -19 A. do not intersect. B. are identical C. intersect at (-2,5) D.are perpendic

ular

Mathematics
1 answer:
kkurt [141]3 years ago
6 0

Answer:

The correct option is D.

Step-by-step explanation:

The given equations are

4x=3y+23

4y+3x=-19

The slope intercept form of a line is

y=mx+b

where, m is slope and b is y-intercept.

Rewrite the given equations is the slope intercept form.

y=\frac{4}{3}x-\frac{23}{3}

y=-\frac{3}{4}x-\fra{19}{4}

Therefore the slope of first line is \frac{4}{3} and the slope of second line is -\frac{3}{4}.

m_1\times m_2=\frac{4}{3}\times =-\frac{3}{4}=-1

Since the product of slopes of two perpendicular lines is -1, therefore we can say that both lines are perpendicular to each other. Option D is correct.

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