Question

what is the slope of the line that passes through the points (4,4) and (10,7)? write your answer in simplest form

Answer 1

Answer:

$\boxed {\boxed {\sf m= \frac{1}{2}}}$

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:

$m= \frac {y_2-y_1}{x_2-x_1}$

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:

• x₁ = 4
• y₁= 4
• x₂ = 10
• y₂= 7

Substitute the values into the formula.

$m= \frac{7-4}{10-4}$

Solve the numerator.

• 7-4=3

$m= \frac{3}{10-4}$

Solve the denominator.

• 10-4= 6

$m= \frac{3}{6}$

This fraction can be reduced. Both the numerator and denominator can be divided by 3.

$m= \frac{3/3}{6/3}$

$m= \frac{1}{2}$

The slope of the line that passes through (4,4) and (10,7) is 1/2.