What is the slope of any line parallel to the line 2x −3y = 7?

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