Graph the line having a slope of $\frac{1}{3}$ and passes through $(4,3)$.

• A.
• B.
• C.
• D.

Answer: (B)

Verified step by step guidance

1. Identify the given slope and point: The slope is \(\frac{1}{3}\) and the line passes through the point \((4, 3)\).
2. Recall the point-slope form of a line equation: \(y - y_1 = m(x - x_1)\), where \(m\) is the slope and \((x_1, y_1)\) is a point on the line.
3. Substitute the given slope and point into the point-slope form: \(y - 3 = \frac{1}{3}(x - 4)\).
4. To graph the line, start by plotting the point \((4, 3)\) on the coordinate plane.
5. Use the slope \(\frac{1}{3}\) to find another point: from \((4, 3)\), move 3 units to the right (positive direction on the x-axis) and 1 unit up (positive direction on the y-axis), then draw the line through these points.