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Arte-miy333 [17]
3 years ago
15

What is the slope of any line parallel to the line 2x-3y=7?

Mathematics
2 answers:
DENIUS [597]3 years ago
5 0

Rewrite 2x-3y=7 in slope-intercept is y=2/3x-7/3, and y=mx+b and m is the slope so m=2/3.

slava [35]3 years ago
3 0

Answer:

slope = \frac{2}{3}

Step-by-step explanation:

Parallel lines have equal slopes.

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 2x - 3y = 7 into this form by subtracting 2x from both sides

- 3y = - 2x + 7 ( divide terms by - 3 )

y = \frac{2}{3} x - \frac{7}{3} ← in slope- intercept form

with slope m = \frac{2}{3}

Thus the slope of any parallel line is m = \frac{2}{3}

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