Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
Related questions
Question
![**Problem:**
Find the distance between the two points in simplest radical form.
**Graph Description:**
A coordinate plane is displayed with both x and y-axes clearly marked from -10 to 10. There are two yellow points on the graph:
- One point is located at (-4, -3).
- The other point is located at (3, 4).
These points represent the coordinates that we need to find the distance between.
**Instructions:**
1. To find the distance between two points \((x_1, y_1)\) and \((x_2, y_2)\) on a coordinate plane, use the distance formula:
\[
d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
\]
2. Substitute the coordinates of the points into the formula:
\[
d = \sqrt{(3 - (-4))^2 + (4 - (-3))^2}
\]
3. Simplify the expression to find the distance in simplest radical form.
**Interactive Component:**
An answer box is provided for students to input their final answer and submit it. Students have 3 attempts to enter the correct answer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1a79dcac-a3cb-4e2b-a227-03982a48fb50%2F62fd6212-0de7-4209-80d6-e1fce1884f6c%2Fcimtzjo_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem:**
Find the distance between the two points in simplest radical form.
**Graph Description:**
A coordinate plane is displayed with both x and y-axes clearly marked from -10 to 10. There are two yellow points on the graph:
- One point is located at (-4, -3).
- The other point is located at (3, 4).
These points represent the coordinates that we need to find the distance between.
**Instructions:**
1. To find the distance between two points \((x_1, y_1)\) and \((x_2, y_2)\) on a coordinate plane, use the distance formula:
\[
d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
\]
2. Substitute the coordinates of the points into the formula:
\[
d = \sqrt{(3 - (-4))^2 + (4 - (-3))^2}
\]
3. Simplify the expression to find the distance in simplest radical form.
**Interactive Component:**
An answer box is provided for students to input their final answer and submit it. Students have 3 attempts to enter the correct answer.
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