Question

Please help!

Answer 1

The equation of a line that is parallel to 3x=4y and has the same y-intercept as 2x-3y=6 is:

y = (3/4)*x - 2

How to get the equation of the line?

A general linear equation is written as:

y = a*x + b

Where b is the y-intercept and a is the slope.

Such that two lines are parallel if the lines have the same slope but different y-intercepts.

So, if we want to have a line parallel to:

3x = 4y

y = (3/4)*x

Then the slope must be 3/4.

And the line must have the same y-intercept than:

2x - 3y = 6.

We can rewrite that to get:

-3y = 6 - 2x

y = (6/-3) + (2/3)*x

y = (2/3)*x - 2

So this linear equation has a y-intercept equal to -2, then our linear equation is:

y = (3/4)*x - 2

If you want to learn more about linear equations:

brainly.com/question/14323743

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