Answer:
y = (-1/3)x + 1
Explanation:
To find the equation of the line in slope-intercept form, we first need to find the slope of the line. We can do this using the following formula:
slope = (y2 - y1) / (x2 - x1)
Where (x1, y1) and (x2, y2) are the coordinates of the two points.
In this case, our two points are (-3, 2) and (-9, 4). Plugging these values into the formula, we get:
slope = (4 - 2) / (-9 - (-3)) = 2 / (-6) = -1/3
Now that we know the slope of the line, we can use it to find the y-intercept. We can do this by substituting the slope and the coordinates of one of the points into the following equation:
y = mx + b
Where m is the slope and b is the y-intercept.
Let's use the point (-3, 2) to find the y-intercept. Substituting these values into the equation, we get:
2 = (-1/3)(-3) + b
2 = 1 + b
b = 2 - 1 = 1
Therefore, the equation of the line in slope-intercept form is:
y = (-1/3)x + 1
This can also be written as:
y = -0.3333x + 1