What is the slope in a line parallel in this equation 7x=-3y+15? Explain?

Well in order to find the slope the equation should be in y = mx + b format, where m=slope

to do this you take your equation,

7x=-3y+15

and notice how the x and y are in the wrong position,

add the 3y to both sides and subtract 7x from both sides

7x=-3y+15

+3y + 3y

7x+3y=15

-7x. - 7x

3y=-7x+15

now we need the y to be by itself so we divide the entire equation by 3 and get

y=-7/3x+5

so - 7/3 or 2.33 or 2 1/3 would be the slope, the slope of parallel lines are equal