Step-4

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 7:
\$ (1,8) \$

2

Hint

Consider

\$ x = 1 , y = 8 \$ & \$ b = 7 \$

3

Formula:

Using Slope-intercept form

"\$ y = mx + b \$ "

4

Step

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

\$8 = m(1) + 7 \$

5

Step

After substition the valuse

\$ 8 = m + 7 \$

6

Step

Find the m value

\$ m = 8 - 7 \$

7

Step

After finding the m value

\$ m = 1 \$

8

Step

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

\$ y = (1)x + 7 \$

9

Step

Converting to the equation form

\$ y = x + 7 \$

10

Step

After Converting to the equation form

\$ x - y + 7 = 0 \$

11

Answer

D


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