Answer:
The slope of the line that cuts through the points (1,2) and (5,4) is [tex]slope=\frac{1}{2}[/tex]
Step-by-step explanation:
To find the slope, you must first know the equation that uses two points to find the slope, then you must name the given points and finally replace these values in the equation.
1. The slope of a line that cuts through two points can be find using the following formula:
[tex]slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
2. Let´s name the points (1,2) and (5,4) as follows:
[tex]x_{1}=1[/tex]
[tex]y_{1}=2[/tex]
[tex]x_{2}=5[/tex]
[tex]y_{2}=4[/tex]
3. Replace the points on the slope formula:
[tex]slope=\frac{4-2}{5-1}[/tex]
[tex]slope=\frac{2}{4}[/tex]
[tex]slope=\frac{1}{2}[/tex]
Therefore, the slope of the line that cuts through the points (1,2) and (5,4) is [tex]slope=\frac{1}{2}[/tex]
