From the option given, we can see that the equation that represents a line that is parallel to the line 7y - 4x = -49 is y=4/7x+7. Option D
The standard equation of a line is expressed as y = mx + b where
Given the equation of a line expressed as 7y - 4x = -49
Make y the subject of the formula:
[tex]7y - 4x = -49\\7y=4x-49\\y=\frac{4}{7}x-\frac{49}{7}\\y= \frac{4}{7}x-7[/tex]
Hence the slope of the given line is 4/7
The equation parallel to this line will also have a slope of 4/6. Hence the correct option will be the equation with a slope of 4/7
From the option given, we can see that the equation that represents a line that is parallel to the line 7y - 4x = -49 is y=4/7x+7
Learn more here: https://brainly.com/question/17003809
