The equation provided in the image is:

$-2x + y = -4$

To find the slope and the y-intercept, we need to rewrite the equation in slope-intercept form, $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept.

1. Solve for $y$:

$y = 2x - 4$

Now, we can identify:

• The slope $m$ is $2$.
• The y-intercept $b$ is $-4$.

Thus, the slope is $2$, and the y-intercept is $-4$.

Would you like a detailed explanation of how to graph this line, or do you have any questions?

Here are 5 related questions for deeper exploration:

1. What is the significance of the slope in the graph of a line?
2. How do you determine the x-intercept of a line from its equation?
3. How does changing the slope affect the steepness of a line?
4. How can you graph a line using only the slope and y-intercept?
5. What happens to the graph of a line when the y-intercept changes?

Tip: When graphing a line, start by plotting the y-intercept, then use the slope to find another point on the line.