SOLUTION: Determine the equation of the line which is parallel to the line 4x - 5y = 9 and has the same y intercept as the line (2x) / 3 + (4y) / 5 = 8 I don't know how to do this. Tha

Question 548266: Determine the equation of the line which is parallel to the line 4x - 5y = 9 and has the same y intercept as the line (2x) / 3 + (4y) / 5 = 8
I don't know how to do this.
Thank you
Answer by mathie123(224) (Show Source): You can put this solution on YOUR website!
Let's look at the first part:
Determine the equation of the line which is parallel to the line 4x - 5y = 9
We know that parallel lines have the same slope (m value)
We can rearrange this formula into y=mx+b and find that m-value.

So the m value is 4/5

For the second part,
Again we can rearrange (2x) / 3 + (4y) / 5 = 8 into y=mx+b form and the b value will be the y-intercept

Multiple every term by 3

Now multiply every term by 5

From this we see that the b-value is 10

Since the line we are looking for has the same slope and same y-intercept, we can plug these values right into the y-intercept form of a line (y=mx+b). This leaves:

Hopefully this helps:)

RELATED QUESTIONS
Write the equation of the line which is perpendicular to the line y = -4x - 5 and has the (answered by jsmallt9)

Write the slope-intercept equation of the line that is parallel to, -3x-5y=6 and has the... (answered by PRMath)

Determine the Standard Form Equation of a line that has the same x-intercept as y = 1/2x (answered by lwsshak3)

determine the equation of line that is parallel to y=-2x-2 and has the same y intercept... (answered by nerdybill)

It says: determine the equation of the line that is perpendicular to y=-4/3x-9 and has... (answered by josmiceli,Alan3354)

Find the equation of a line parallel to 2x + 5y = 1, with the same y-intercept as x - 4y... (answered by 1623512)

Determine the equation of a line that is perpendicular to y = 3x + 9, and has the same... (answered by josgarithmetic)

an equation of the line that parallel to line AB and has y intercept -3... (answered by ikleyn)

Which is the equation of a line, in standard form, with y-intercept −3 and parallel (answered by josgarithmetic)