Answer:
[tex]\boxed {\tt m=1}[/tex]
Step-by-step explanation:
The slope formula is:
[tex]m= \frac{y_2-y_1}{x_2-x_1}[/tex]
where (x₁, y₁) and (x₂, y₂) are points on the line.
Let's pick two points from the graph : (1,2) and (4,5). Match the variables and numbers, so:
[tex]x_1=1\\y_1=2\\x_2=4 \\y_2=5[/tex]
Substitute the values into the formula.
[tex]m=\frac{5-2}{4-1}[/tex]
Solve the numerator. Subtract 2 from 5.
[tex]m=\frac{3}{4-1}[/tex]
Solve the denominator. Subtract 1 from 4.
[tex]m=\frac{3}{3}[/tex]
Divide 3 by 3.
[tex]m=1[/tex]
The slope of the line is 1.
