Sketch a graph of the equation $- 6 x + 7 y = 42$ . Use the Vertical Line Test to determine whether y is a function of x .
A)y is a function of x .
B)y is not a function of x .
C)y is a function of x .
D)y is not a function of x .
E)y is a function of x .

Question

Sketch a graph of the equation $- 6 x + 7 y = 42$ . Use the Vertical Line Test to determine whether y is a function of x .
A)y is a function of x . 
B)y is not a function of x . 
C)y is a function of x . 
D)y is not a function of x . 
E)y is a function of x .

Quizplus · Accepted Answer

To graph the equation, we can begin by finding the x and y-intercepts: 
-When x equals 0, 7y = 42, so y = 6. When y equals 0, -6x = 42, so x = -7. 
-We can plot these points and connect them with a straight line. 
-Then, we can use the Vertical Line Test to determine whether y is a function of x. If every vertical line intersects the graph at most once, then the graph represents a function. Looking at the graph of the equation, we can see that every vertical line intersects the graph at most once, so y is a function of x.

Sketch a Graph of the Equation −6x+7y=42- 6 x + 7 y = 42−6x+7y=42

Sketch a Graph of the Equation $- 6 x + 7 y = 42$