Answer:
3
Step-by-step explanation:
Given a line with points; (2, 5) (3, 8).
1. Find the slope of the given line
The formula for finding the slope is:
[tex]\frac{y_{2}-y_{1} }{x_{2} - x_{1}}[/tex]
Substitute in the values;
[tex]x_{1} = 2\\y_{1} = 5\\x_{2} = 3\\y_{2} = 8[/tex]
[tex]\frac{8-5}{3-2}[/tex]
simplify;
[tex]\frac{3}{1}[/tex]
= 3
2. Find the slope of the parallel line;
Remember, when two lines are parallel, they run alongside each other, of infinitely long, but they never touch. Hence two parallel lines have the same slope. Therefore, the slope of a line that is parallel to the given one will also have the same slope as the given one, which is 3.
