Let's solve the problem step by step.

Step 1: Find the slope of the line

The formula for the slope $m$ between two points $(x_1, y_1)$ and $(x_2, y_2)$ is:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Using the points $(8, -7)$ and $(6, -3)$: $m = \frac{-3 - (-7)}{6 - 8}$ $m = \frac{-3 + 7}{-2} = \frac{4}{-2} = -2$

So, the slope is $m = -2$.

Step 2: Write the equation in slope-intercept form

The slope-intercept form of a line is: $y = mx + b$ Where:

• $m$ is the slope
• $b$ is the y-intercept

We already know $m = -2$. To find $b$, substitute one of the points into the equation. Using the point $(8, -7)$: $-7 = -2(8) + b$ $-7 = -16 + b$ $b = -7 + 16 = 9$

Step 3: Final equation

The equation of the line in slope-intercept form is: $y = -2x + 9$

Let me know if you'd like a detailed explanation or further assistance! Here are some related questions to explore:

1. How do you find the slope of a line from its graph?
2. What is the point-slope form of a linear equation?
3. How do you convert slope-intercept form to standard form?
4. How do you determine if two lines are parallel or perpendicular?
5. Can you find the equation of a line given its slope and one point?

Tip: When finding the slope, always check the subtraction order to avoid sign errors!