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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=
Equation 2 can be rewritten as:
6x+8y=2
8y=2-6x
y =
Y=
In this form, we can easily identify that both lines have a slope of , 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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