Answered

Welcome to Westonci.ca, the ultimate question and answer platform. Get expert answers to your questions quickly and accurately. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

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

Sagot :

Sarah06109

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 visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.