Answer: To write the equation of a line in slope-intercept form (y = mx + b), we need to find the slope (m) and y-intercept (b) of the line.
We can use the two given points (-8, -4) and (-6, -1) to find the slope:
m = (y2 - y1) / (x2 - x1)
m = (-1 - (-4)) / (-6 - (-8))
m = 3 / 2
Now that we have the slope, we can use either of the two given points to find the y-intercept:
y = mx + b
-1 = (3/2)(-6) + b
-1 = -9 + b
b = 8
Therefore, the equation of the line in slope-intercept form is:
y = (3/2)x + 8
Explanation: