In the xy-plane, what is the slope of…
The easiest way to determine the slope of the line is to put the equation of the line into slope-intercept form, which is y = mx + b, where m = slope and b = the y-intercept. We must rewrite the given equation 3x + 7y = 9 to get y by itself on the left.
3x + 7y = 9
7y = -3x + 9
y = (-3/7)x + 9/7
Using the general slope-intercept form of y = mx + b, we see that the slope m = -3/7