Answer:
The equation of the line is y = 4x/7 - 1
Step-by-step explanation:
The equation of a straight line can be represented by
y = mx + c
where m represents the slope and c represents the y-intercept
So for;
4x - 7y = 9
7y = 4x - 9
y = 4x/7 - 9/7
The slope here is 4/7
Since the line we are trying to form is parallel, then the slope of the line is 4/7 also, since parallel lines have equal slope
So the equation of the new line will be;
y = 4x/7 + c
To get c, just put the point x = 7 and y = 3
3 = 4/7(7) + c
3 = 4 + c
c = 3-4
c = -1
So the equation of the line is;
y = 4x/7 - 1
