



 
Shelby, The slope intercept form is y = mx + b where m is the slope and b is the yintercept. To write the equation in slopeintercept form you need the slope and the yintercept. You find the yintercept by locating the point on the line where it meets the yaxis, that is the point on the line with xcoordinate equal to zero. For your problem you already know that. (0,6) is on the line so 6 is the yintercept. Thus the equation you want is y = mx + 6, and all that remains is to find the slope m. You are told that the line is parallel to the line 3y  4x + 1 so it has the same slope as this line. So how do you find the slope of 3y  4x = 1? I'm going to show you using another example. Find the slope of 4x  5y = 2. The technique is to rewrite the equation in its slopeintercept form, y = mx + b, and then m is the slope. For 4x  5y = 2 I would first add 4x to each side to obtain
next multiply both sides by 1
and finally divide both sides by 5
Now I have the line in slopeintercept form and I can see its slope is 4/5. Use this technique to find the slope of 3y  4x = 1 and substitute the slope you obtain into y = mx + 6 to obtain the equation you need. I hope this helps,  


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