Answer:
[tex]\boxed {\boxed {\sf m= \frac{1}{2}}}[/tex]
Step-by-step explanation:
We are asked to find the slope of a line that passes through 2 points. The slope tells us the steepness and direction of a line. It is calculated using the following formula:
[tex]m= \frac {y_2-y_1}{x_2-x_1}[/tex]
In this formula, (x₁ , y₁) and (x₂, y₂) are the points the line passes through. The points are (4,4) and (10,7). If we match the value and the corresponding variable we see that:
Substitute the values into the formula.
[tex]m= \frac{7-4}{10-4}[/tex]
Solve the numerator.
[tex]m= \frac{3}{10-4}[/tex]
Solve the denominator.
[tex]m= \frac{3}{6}[/tex]
This fraction can be reduced. Both the numerator and denominator can be divided by 3.
[tex]m= \frac{3/3}{6/3}[/tex]
[tex]m= \frac{1}{2}[/tex]
The slope of the line that passes through (4,4) and (10,7) is 1/2.
