Answer:
The equation of the line in slope-intercept form is y = 1/3x - 6.
Explanation:
For those who don't know what Slope Intercept Form is, the slope intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept.
To find the slope (m), we use the formula: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.
Using the given points (-6, -8) and (-3, -7), we have:
m = (-7 - (-8)) / (-3 - (-6)) = 1 / 3
Now we can substitute the slope (m) and one of the points into the slope-intercept form to find the y-intercept (b). Let's use the point (-3, -7):
-7 = (1/3)(-3) + b
-7 = -1 + b
b = -6
Therefore, the equation of the line in slope-intercept form is y = (1/3)x - 6.