x-intercept is(-27, 0).
y-intercept is [0,-3)
Step-by-step explanation:
To find the x-intercept, i set y = 0 and solve for x:
x + 9(0) = -27
x + 0 = -27
x = -27
So, the x-intercept is (-27, 0).
To find the y-intercept, i set x = 0 and solve for y:
0 + 9y = -27
9y = -27
y = -3
So, the y-intercept is (0, -3).
Now, i can plot these intercepts on a coordinate plane and draw a line passing through them.
Here is the graph of the linear equation x + 9y = -27
( The graph is a straight line passing through the x-intercept (-27, 0) and the y-intercept (0, -3). )