How do i solve this i do not get it Find the equation of the line that contains the point left parenthesis negative 3 comma negative 9 right parenthesis and is parallel to the line 3 x plus 4 y equals 7. Write the equation in slope-intercept form, if possible.

Step-by-step explanation:

When ever you are asked to draw a line that goes through a given point you should use point slope formula or . In this problem you are asked to go through point (-3, -9) while being parallel to 3x+4y = 7.

Start by converting 3x+4y = 7 into slope intercept form (y = mx + b). To do this you first need to move 3x to the other side of the equation: 4y = -3x + 7. Then divide by 4 to get y alone: .Next, start plugging the numbers into the point slope formula given above, where is -9, is -3, and is . Your equation should look like this when you're done: . When you subtract a negative you add so your equation becomes: . You then need to distribute the into the and you should end up with something like this: Finally, subtract the 9 from the left side and you have your