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We are asked to find the gradient (slope) and the equation of the line passing through two points: (3, 5) and (-1, 9). Let's break this down step by step.

### Step 1: Find the slope (m)
The formula for the slope of a line passing through 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 (3, 5) and (-1, 9):
\[
m = \frac{9 - 5}{-1 - 3} = \frac{4}{-4} = -1
\]

### Step 2: Use point-slope form to find the equation of the line
The point-slope form of a line is:

\[
y - y_1 = m(x - x_1)
\]

Using the slope \(m = -1\) and the point (3, 5):
\[
y - 5 = -1(x - 3)
\]
Simplifying:
\[
y - 5 = -x + 3
\]
\[
y = -x + 3 + 5
\]
\[
y = -x + 8
\]

### Step 3: Convert to standard form
The standard form of a line is usually written as \(Ax + By = C\). We can rearrange the equation:

\[
x + y = 8
\]

To match the forms in the answer choices, let's rewrite it as:
\[
x + y - 8 = 0 \quad \text{or} \quad x + y = 8
\]

However, none of the answer choices exactly match this form. Let's recheck the options and ensure the calculation aligns with the problem's specific instructions.

Would you like me to double-check or clarify any part of the problem further? Here are some related questions:

1. How do we derive the equation of a line from two points?
2. What are the different forms of a line equation (slope-intercept, point-slope, and standard)?
3. How can we interpret the slope in the context of geometry?
4. How do we convert between slope-intercept form and standard form of a line?
5. What are other ways to verify the correctness of a line equation?

**Tip:** When converting between different forms of line equations, be mindful of signs and constants to ensure consistency with standard forms like Ax + By = C.

Sebuah garis melewati titik (3, 5) dan titik (-1, 9), maka gradien dan persamaan garis tersebut.

Learn how to calculate the gradient and equation of a line passing through the points (3, 5) and (-1, 9). The solution includes using the slope formula and converting the equation to standard form. Suitable for high school students studying coordinate geometry.

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