The problem asks us to find the slope and y-intercept of the given line. The slope is provided as -9. Then, we need to use the slope and y-intercept to write the equation of the line.

AlgebraLinear EquationsSlope-Intercept Form
2025/3/6

1. Problem Description

The problem asks us to find the slope and y-intercept of the given line. The slope is provided as -

9. Then, we need to use the slope and y-intercept to write the equation of the line.

2. Solution Steps

First, let's find the y-intercept. From the graph, we can see that the line intersects the y-axis at y =
1

2. Therefore, the y-intercept is

1
2.
The slope-intercept form of a line is given by:
y=mx+by = mx + b
where mm is the slope and bb is the y-intercept.
We are given the slope m=9m = -9 and we found the y-intercept b=12b = 12.
Substituting these values into the slope-intercept form, we get:
y=9x+12y = -9x + 12

3. Final Answer

y=9x+12y = -9x + 12