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Lesson Example Discussion Quiz: Class Homework

Step-3

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: Hello Students, time to practice and review the steps for the problem.

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	A line passes through the point and has a Y-intercept of 3: \$(2,-6)\$
2	Hint	Consider	\$ x = 2 , y = -6 \$ & \$ b = 3 \$
3	Formula:	Using Slope-intercept form	"\$ y = mx + b \$ "
4	Step	Substituting '\$ x , y , b\$' values	\$-6 = m(2) + 3 \$
5	Step	After substituting	\$ -6 = 2m + 3 \$
6	Step	Find the m value	\$ 2m = -6 - 3 \$
7	Step	Finding the m value	\$ 2m = -9 \$
8	Step	After finding the m value	\$ m = -9/2 \$
9	Step	Now Substitute m , b values in the Slope-intercept form we get	\$ y = (-9/2)x + 3 \$
10	Step	Taking LCm as 2	\$ y = (-9x + (3\times2))/2 \$
11	Step	Simplifying the equation	\$ y = (-9x + 6)/2 \$
12	Step	After Simplifying the equation	\$ 2y = -9x + 6 \$
13	Step	Converting to the equation form	\$ 9x + 2y = 6 \$
14	Step	After converting to the	\$ 9x + 2y - 6 = 0 \$
15		Answer	C

Step

Type

Explanation

Answer

Problem

A line passes through the point and has a Y-intercept of 3:
\$(2,-6)\$

Hint

Consider

\$ x = 2 , y = -6 \$ & \$ b = 3 \$

Formula:

Using Slope-intercept form

"\$ y = mx + b \$ "

Step

Substituting '\$ x , y , b\$' values

\$-6 = m(2) + 3 \$

Step

After substituting

\$ -6 = 2m + 3 \$

Step

Find the m value

\$ 2m = -6 - 3 \$

Step

Finding the m value

\$ 2m = -9 \$

Step

After finding the m value

\$ m = -9/2 \$

Step

Now Substitute m , b values in the Slope-intercept form we get

\$ y = (-9/2)x + 3 \$

Step

Taking LCm as 2

\$ y = (-9x + (3\times2))/2 \$

Step

Simplifying the equation

\$ y = (-9x + 6)/2 \$

Step

After Simplifying the equation

\$ 2y = -9x + 6 \$

Step

Converting to the equation form

\$ 9x + 2y = 6 \$

Step

After converting to the

\$ 9x + 2y - 6 = 0 \$

Answer