The required graph that represents the equation 3y - x - 9 = 0 is graph B. Option B is correct.
Which graph represents the solution set of the equation 3y - x - 9 = 0 is to determine.
What is graph?
The graph is a demonstration of curves that gives the relationship between the x and y-axis.
Given equation,
3y - x - 9 = 0
Rearranging the equation,
y = x/3 + 3
Since the slope of the equation is m = 1/3 and the intercept is positive
So graph A and C can be omitted because the intercept is negative.
Now, x intercepet,
put Y = 0
0 = x/3 + 3
-3 = x/3
x = -3 * 3
x = -9
So graph D is also omitted because the x-intercept is -1 which is wrong, So graph B is a correct option which has the x-intercept at x = -9.
Thus, the required graph that represents the equation 3y - x - 9 = 0 is graph B. Option B is correct.
Learn more about graphs here:
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