Find the slope of 7x+9y=45

-7/9

Step-by-step explanation: To identify the slope of this line, first notice that this equation is in standard form which is Ax + By = C.

To find the slope, we need to solve for our variable y.

We first need to identify what is happening to our variable y. You can notice that it's being multiplied by 9 and is being added by 7x because 7x is a +7x so we're adding the 7x to the 9y.

So the first thing we do is undo addition and subtraction to our variable.

On the left the -7x's cancel and we are left with 9y. on the right, we do not want to write 45 - 7x because we always want to keep our variable in front of our constant. So I will just write that as 9y = -7x + 45.

Now we can divide everything by 9 in order to get y by itself.

This leaves us with y = -7/9x + 5.

Now our slope is the multiplier or the coefficient of the x term which in this case is -7/9. So the slope is -7/9.