You have uploaded a set of linear equations for which you are asked to graph them using intercepts. I will go through an example of solving one of these problems by finding the intercepts and then summarize the process for all others.

Let's work on Problem 46: $x + 2y = 4$.

Steps:

1. Find the x-intercept (where $y = 0$): $x + 2(0) = 4 \implies x = 4$ So the x-intercept is $(4, 0)$.

2. Find the y-intercept (where $x = 0$): $0 + 2y = 4 \implies y = 2$ So the y-intercept is $(0, 2)$.

Now, with the intercepts $(4, 0)$ and $(0, 2)$, you can plot these points and draw a line through them to graph the equation.

General Steps for All Problems:

• Find the x-intercept by setting $y = 0$ and solving for $x$.
• Find the y-intercept by setting $x = 0$ and solving for $y$.
• Plot both intercepts and draw the line through them.

Would you like me to work through each equation similarly or explain the process for any specific one?

Here are 5 questions related to intercepts and graphing:

1. How do you find the x-intercept of a linear equation?
2. What is the significance of the y-intercept in a graph?
3. Can a linear equation have no intercepts? Why or why not?
4. What happens when both intercepts are the same?
5. How does the slope of the line relate to the intercepts?

Tip: Always label your intercept points clearly on the graph, as they are crucial for drawing the line accurately!