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Karo-lina-s [1.5K]
2 years ago
15

Which best describes the relationship between the lines with equations −3x−4y=1 and −6x−8y=2?

Mathematics
1 answer:
Tju [1.3M]2 years ago
8 0

The relationship between 3x+4y=1 and 6x+8y=2 is that they are parallel lines.

<h3>What is the slope-intercept form of an equation?</h3>

Any linear equation has the form of y=mx+b

m is the slope of the equation

b is the y-intercept

The easiest way to see the relationship between the two lines is to transform them both into slope-intercept form, which is y=mx+b.

Equation 1 can be rewritten as

3x+4y=1

4y=1-3x

y= \frac{1-3x}{4}

Equation 2 can be rewritten as:

6x+8y=2

8y=2-6x

y = \frac{2-6x}{8}

Y= \frac{1-3x}{4}

In this form, we can easily identify that both lines have a slope of -\frac{3}{4}, but that they have different y-intercepts. Lines will equal slopes but different y-intercepts are parallel.

Therefore, the lines are parallel.

To know more about slope-intercept form and parallel lines, visit: brainly.com/question/1612114?referrer=searchResults

#SPJ4

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