Is y= -9/5x + 1/5 perpendicular to y= 5/9x + 2/9

Mathematics

1 answer:

Lana71 [14]3 years ago

7 0

The given lines are perpendicular to each other.

Further explanation:

Given lines are:

Line 1: y= -9/5x + 1/5

Line 2: y= 5/9x + 2/9

As the lines are in slope=intercept form, the co-efficient of x are their slopes

Let m1 be the slope of line 1 and m2 be the slope of line 2

Then

$m_1=-\frac{9}{5}\\m_2=\frac{5}{9}\\m_1.m_2=-\frac{9}{5}*\frac{5}{9}\\m_1.m_2=-1$

As we can see that the product of slopes of both lines is -1. The product of slopes of perpendicular lines is -1.

The given lines are perpendicular to each other.

Keywords: Slope, slope-intercept form

Learn more about equation of lines at:

#LearnwithBrainly

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