QUESTION 6 Write an equation for a line passing through the points $(-1,8)$ and $(0,5)$. \[ y=\frac{1}{3} x+5 \] $y=5$ $y=-3 x+5$ $y=-x+8$

Step 1 ：The equation of a line passing through two points \((x_1, y_1)\) and \((x_2, y_2)\) can be found using the formula: \[y - y_1 = \frac{y_2 - y_1}{x_2 - x_1} (x - x_1)\]

Step 2 ：Here, \((x_1, y_1) = (-1, 8)\) and \((x_2, y_2) = (0, 5)\).

Step 3 ：Substituting these values into the formula, we get: \[y - 8 = \frac{5 - 8}{0 - (-1)} (x - (-1))\]

Step 4 ：Simplifying the right side, we get: \[y - 8 = -3 (x + 1)\]

Step 5 ：Expanding the right side, we get: \[y - 8 = -3x - 3\]

Step 6 ：Finally, adding 8 to both sides to isolate y, we get: \[y = -3x + 5\]

Step 7 ：So, the equation of the line passing through the points \((-1,8)\) and \((0,5)\) is \[\boxed{y = -3x + 5}\]