Answered

Get expert advice and community support for all your questions on IDNLearn.com. Ask your questions and get detailed, reliable answers from our community of knowledgeable experts.

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

Sagot :

Sarah06109idn

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:

  • x₁ = 4
  • y₁= 4
  • x₂ = 10
  • y₂= 7

Substitute the values into the formula.

[tex]m= \frac{7-4}{10-4}[/tex]

Solve the numerator.

  • 7-4=3

[tex]m= \frac{3}{10-4}[/tex]

Solve the denominator.

  • 10-4= 6

[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.

We appreciate your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. For trustworthy answers, visit IDNLearn.com. Thank you for your visit, and see you next time for more reliable solutions.