To find the equation of the line that passes through the points (-8, -3) and (-7, 0), we can use the point-slope form of the equation of a line, which is:
y - y1 = m(x - x1)
where (x1, y1) is a point on the line and m is the slope of the line.
First, we can find the slope of the line using the two points:
m = (y2 - y1) / (x2 - x1)
m = (0 - (-3)) / (-7 - (-8))
m = 3
Next, we can choose one of the two points to use in the equation. Let's use the point (-8, -3):
y - (-3) = 3(x - (-8))
Simplifying:
y + 3 = 3(x + 8)
y + 3 = 3x + 24
Subtracting 3 from both sides:
y = 3x + 21
Therefore, the equation of the line that passes through the points (-8, -3) and (-7, 0) is y = 3x + 21, in fully simplified point-slope form.