Answer:
Slope = -1/3
Explanation:
9x + 27y = 45
Let's rearrange
Following the equation of a line
y = mx + c
y - intercept point y
x - intercept point x
m - slope of the line
c - intercept of the line
9x + 27y = 45
27y = 45 - 9x
27y = -9x + 45
Divide both sides by 27 , to make the y the subject of the formula
27y/27 = ( -9x + 45)/27
y = ( -9x + 45)/27
y = mx + c
We have to separate, so as to get the slope and also the intercept
y = ( -9x + 45)/27
y = -9x/27 + 45/27
We can simply further
y = -x/3 + 5/3
Therefore, the slope of the equation is -1/3
The intercept is 5/3