First put the equation 2x = 9y + 4 into slope-intercept form - you will basically be solving for y (y=mx+b). That will give you "m," which is your slope. Parallel lines have the same slope, so you now have your slope for your new line too.
Next, plug in all of your numbers to the equation y= mx+b. x and y are the points given to you that are in your new line: -5 and 7. Plug in your new slope for m. That leaves you with b to solve for. Solve for b.
Now use y = mx+b again. Substitute your slope for the m again and this time substitute your value for b into the equation, leaving the x and y in place. You now have your equation for your new line.
Write an equation of the line containing the given point and parallel to the given line. Express your answer in the form y=mx+b.
(-5,7);2x=9y+4
2 answers
y=-2x + 4