Lesson Example Discussion Quiz: Class Homework |
Step-1 |
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 6: |
|
2 |
Formula: |
Consider |
\$ x = -1 , y = 7 \$ & \$ b = 6 \$ |
3 |
Hint |
Using Slope-intercept form |
"\$ y = mx + b \$ " |
4 |
Step |
Substituting x , y , b values |
\$7 = m(-1) + 6 \$ |
5 |
Step |
After Substituting x , y , b values |
\$ 7 = -m + 6 \$ |
6 |
Step |
After simplification |
\$ m = 6 - 7 \$ |
7 |
Step |
After subtraction |
\$ m = -1 \$ |
8 |
Step |
Now Substitute '\$ m , b \$' values in the Slope-intercept form we get |
\$ y = (-1)x + 6 \$ |
9 |
Step |
Converting to the equation form |
\$ y = -x + 6 \$ |
10 |
Step |
After Converting to the equation form |
\$ x + y = 6 \$ |
11 |
Step |
After simplification |
\$ x + y - 6 = 0 \$ |
12 |
Answer |
A |
|
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