Given points:
Point 1: (4, -27)
Point 2: (8, -51)
Slope (m) can be found using the formula:
m = (-51 - (-27)) / (8 - 4)
m = (-51 + 27) / (8 - 4)
m = -24 / 4
m = -6
Using point (4, -27) and the slope m = -6, we can write the equation of the line using the point-slope form:
y - (-27) = -6(x - 4)
Solving this equation:
y + 27 = -6(x - 4)
y + 27 = -6x + 24
y = -6x + 24 - 27
y = -6x - 3
So, the equation of the line passing through the points (4, -27) and (8, -51) is y = -6x - 3.
