Answer:
y = 1/3x - 1
Step-by-step explanation:
Given the slope of 1/3, and the point (-3, -2): we can plug these values into the slope-intercept form, y = mx + b where:
m = slope
b = y-coordinate of the y-intercept, (0, b)
y = mx + b
-2 = 1/3(-3) + b
-2 = -1 + b
Add 1 to both sides to solve for b:
-2 + 1 = -1 + 1 + b
-1 = b
The y-intercept is b = -1.
Therefore, given the slope, m = 1/3, and y-intercept, b = -1:
the linear equation in slope-intercept form is:
y = 1/3x - 1
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