3. Give the rule for a line that contains the point $$ \left(\frac{3}{4}, 1 \frac{1}{2}\right) $$ using the operation or description below. name 2 other points that would fall on each line.

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1. Start with the point‑slope form of the equation of a line:  
   $$
   y - y_1 = m\,(x - x_1)
   $$

2. Choose a slope. For example, let $$ m = 2 $$.

3. Substitute the given point $$ \left(\frac{3}{4}, 1\frac{1}{2}\right) $$. Note that  
   $$
   1\frac{1}{2} = \frac{3}{2},
   $$  
   so we have $$ x_1 = \frac{3}{4} $$ and $$ y_1 = \frac{3}{2} $$. The equation becomes  
   $$
   y - \frac{3}{2} = 2\left(x - \frac{3}{4}\right).
   $$

4. Simplify the equation:  
   Multiply out the right side:  
   $$
   y - \frac{3}{2} = 2x - \frac{3}{2}.
   $$  
   Add $$\frac{3}{2}$$ to both sides:  
   $$
   y = 2x.
   $$

5. Two other points on the line $$ y = 2x $$ can be found by choosing convenient $$ x $$‐values. For instance:  
   - If $$ x = 0 $$, then $$ y = 2(0) = 0 $$, so the point is $$(0, 0)$$.  
   - If $$ x = 1 $$, then $$ y = 2(1) = 2 $$, so the point is $$(1, 2)$$.
The equation of the line is $$ y = 2x $$. Two other points on this line are $$(0, 0)$$ and $$(1, 2)$$.

Give the rule for a line that contains the point using the operation or description below.
name 2 other points that would fall on each line.

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Give the rule for a line that contains the point using the operation or description below. name 2 other points that would fall on each line.