Let me extract the math question from your image. One moment while I analyze it.The question extracted from your image is:

"A line passes through the points (-2, -5) and (1, 4). Find the equation of the line. Write your final answer in slope-intercept form."

Solution:

1. Find the slope (m) using the slope formula: $m = \frac{y_2 - y_1}{x_2 - x_1}$ Using the given points (-2, -5) and (1, 4): $m = \frac{4 - (-5)}{1 - (-2)} = \frac{4 + 5}{1 + 2} = \frac{9}{3} = 3$

2. Use the point-slope form of a line equation: The formula is: $y - y_1 = m(x - x_1)$ Choose one point, say (-2, -5), and substitute $m = 3$: $y - (-5) = 3(x - (-2))$ Simplify: $y + 5 = 3(x + 2)$

3. Expand and simplify into slope-intercept form: $y + 5 = 3x + 6$ Subtract 5 from both sides: $y = 3x + 1$

Final Answer:

The equation of the line is: $y = 3x + 1$

Would you like a deeper explanation or visualization? Here are five related questions for practice:

1. How do you find the equation of a line if you're given one point and the slope?
2. What happens to the slope if two points have the same x-coordinate?
3. How would you convert a line equation from point-slope form to standard form?
4. How do you verify that a given point lies on a line?
5. What does the y-intercept represent in the slope-intercept equation?

Tip: Always double-check your slope calculation to avoid errors in the equation.