Final answer:
The equation x = 8y shows a direct relationship, and solving for y is done by dividing both sides by 8, resulting in y = x/8. This is similar to linear equations like y = 9 + 3x, where plotting points from calculated values of x and y showcases the direct relationship on a graph.
Step-by-step explanation:
The equation x = 8y represents a direct relationship between x and y. In a direct relationship, as one variable increases, the other variable also increases in direct proportion. To solve for y, you would simply divide both sides of the equation by 8, resulting in y = x/8.
Assuming you are asked to solve for y, here is a step-by-step explanation:
- Start with the equation: x = 8y.
- Divide both sides of the equation by 8: y = x/8.
- Now, y is isolated and the equation has been solved.
This is an example of a linear equation, similar to y = 9 + 3x, where the b term (or the y-intercept) has been set equal to 9 and the m term (or the slope) has been set equal to 3. If asked to construct a table and graph for y = x/8, you would plug in a series of different values for x, calculate what value of y results, plot these points, and then draw a line through them.