Question

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

Answer 1

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

What is the slope-intercept form of an equation?

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

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