Answer:
[tex]\boxed {\boxed {\sf m=\frac{5}{2}}}[/tex]
Step-by-step explanation:
The slope formula is the change in y over the change in x, or:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Where (x₁,y₁) and (x₂, y₂) are the points the line passes through.
The points given are (0,1) and (2,6). Therefore:
[tex]x_1=0\\y_1=1\\x_2=2\\y_2=6[/tex]
Substitute the values into the formula.
[tex]m=\frac{6-1}{2-0}[/tex]
Solve the numerator.
[tex]m=\frac{5}{2-0}[/tex]
Solve the denominator.
[tex]m=\frac{5}{2}[/tex]
This fraction can not be simplified further, so it is our answer.
The slope of the line is 5/2
