Lesson Example Discussion Quiz: Class Homework |
Example |
Title: Find the equation of a line passes through the point and has a Y-intercept of Number |
Grade: 9-a Lesson: S2-L8 |
Explanation: The best way to understand algebra is by looking at some examples. Take turns and read each example for easy understanding. |
Examples:
1. Find the equation of the line passes through the points [big bold teal]*\$(2,3)\$ and has y-intercept 3.
Step 1a
|
|
Given points. |
|
Explanation:
Given points \$(2,3)\$ and y-intercept is 3. |
Step 1b
|
|
Intercept form of line. |
|
Explanation: Intercept form of line is \$x/a + y/b = 1\$. \$=> x/a + y/3 =1\$. |
Step 1c
|
|
Substitute the points in the intercept form to find x-intercept. |
|
Explanation: Since line passes through point (2,3) \$=> 3/a + 3/4 = 1\$ \$=> 3/a + 3/4 = 1\$ \$=> 3/a = 1 - 3/4\$ \$=> 3/a = (4 - 3)/4\$ \$=> 3/a = 1/4\$ \$=> a = 12 \$ |
Step 1d
|
|
Substitute the x-intercept in the intercept form of line. |
|
Explanation: Since line passes through point (2,3) \$=> x/a + y/4 = 1\$ \$=> x/12 + y/4 = 1\$ \$=> x/12 + y/4 = 1\$ \$=> (x + 3y)/12 = 1\$ \$=> x + 3y = 12\$ |
Copyright © 2020-2022 saibook.us Contact: info@saibook.us Version: 1.5 Built: 15-March-2023 08:10 PM EST