Question 227030
Well first we need to solve the given equation for y so we know its slope.  I'll leave the algebra for you to do but the final answer is y = 8/9x-5/9. So we know that the slope is 8/9.  We also know that parallel lines have the same slope so our line will have slope 8/9.  Now there are 2 ways to solve this problem from here.  <br>

Method 1.  Using Slope-intercept form<br>

we know that the equation for a line in slope-intercept form is y=mx+b where m is the slope of the line and x and y are points on the line.  Since we know a point on our line and the slope of our line we can just plug in and solve for b.<br>

y = mx+b
9 = 8/9(7)+b<br>

I'll leave the algebra to you but you should end up with b = 25/9.  So our equation will be y = 8/9x+25/9.<br>

Method 2.  Using Point-Slope form.<br>

There is another equation you can use to find the equation of a line, its y-y1=m(x-x1) where (x1,y1) is a point on the line and m is the slope.  Since we know a point and a slope we can just plug into this formula.<br>

y-9=8/9(x-7)<br>

Doing the algebra you will see that you end up with y = 8/9x+25/9 which is what we got above.