The equation provided in the image is $y = -5x + 7$. This is the equation of a straight line in slope-intercept form, where:

• The slope ($m$) is $-5$.
• The y-intercept ($b$) is $7$.

Steps to Graph:

1. Plot the y-intercept: Start at $(0, 7)$ on the y-axis.
2. Use the slope to find another point:
   • Slope $m = -5$ means that for every 1 unit increase in $x$, $y$ decreases by 5.
   • From $(0, 7)$, move 1 unit to the right ($x = 1$), and then move 5 units down ($y = 2$). This gives a second point, $(1, 2)$.
3. Draw the line: Connect these points and extend the line in both directions.

Let me know if you'd like me to graph it for you or explain any step further.

Would you like a detailed graph? Here are related questions for practice:

1. How do you find the slope of a line given two points?
2. What happens to the graph if the slope is positive instead of negative?
3. How would the graph change if the equation were $y = -5x - 3$?
4. How can you determine the x-intercept of a line?
5. How do you graph a line when the equation is not in slope-intercept form?

Tip: Always identify the y-intercept and slope first to make graphing easier!