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Furkat [3]
2 years ago
6

Find the slope of the lines. Are the 2 lines parallel or perpendicular? Explain how you can use the slope of two lines to tell i

f they are parallel. Then explain how you can use the slope of two lines to tell if they are perpendicular. 20 points!

Mathematics
1 answer:
rewona [7]2 years ago
6 0

Answer:

slope = \frac{3}{7} and - \frac{7}{3}, 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 )

y = \frac{3}{7} x + 11 is in this form with m = \frac{3}{7}

Rearrange 7x + 3y = 13 into this form

subtract 7x from both sides

3y = - 7x + 13 ( divide all terms by 3 )

y = - \frac{7}{3} x + \frac{13}{3} ← in slope- intercept form

with m = - \frac{7}{3}

• Parallel lines have equal slopes

• The product of perpendicular slopes = - 1

The lines are not parallel since slopes are not equal

\frac{3}{7} × - \frac{7}{3} = - 1

Hence lines are perpendicular



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