the slope of paralel lines are the same.
therefore to find the slope of a paralel line to 2x −3y = 7, you need to find the slope of this line :)
to do that, we just need to change this into the line equation format, which is y = mx + b (y is the y point, x is the x point, m is the slope, and b is the y intercept)
2x - 3y = 7
7 = 2x - 3y
7+ 3y = 2x
3y = 2x - 7
y = (2/3)x - (7/3)
so the slope is 2/3
any paralel line will have an equation of y = (2/3)x + b
