Questions: Graph the line with the given point and slope. The line through (3,3) with slope 1/2.
Transcript text: Graph the line with the given point and slope. The line through $(3,3)$ with slope $\frac{1}{2}$
Solution
Solution Steps
Step 1: Locate the given point
The given point is $(3,3)$. Locate this point on the coordinate plane.
Step 2: Use the slope to find a second point
The slope is $\frac{1}{2}$. This means that for every 2 units we move to the right horizontally, we move 1 unit up vertically. Starting at $(3,3)$, move 2 units to the right and 1 unit up. This gives us the point $(3+2, 3+1) = (5,4)$.
Step 3: Draw the line
Draw a straight line that passes through the points $(3,3)$ and $(5,4)$.
Final Answer
The line passes through the points $(3,3)$ and $(5,4)$.
\\(\boxed{\text{Line through } (3,3) \text{ and } (5,4)}\\)