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\$


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