Answer:
y = (-6/13)x + (4/13).,
Explanation:
the equation of the line is:
y = mx + b, where "m" is the slope and "b" gives the y-intercept
m = (y2 - y1)/(x2 - x1)
m = (-2 - 4)/(5 - (-8))
m = -6/13
y = (-6/13)x + b
the line passes through the point (-8,4) means that for x = -8, y = 4
4 = (-6/13)(-8) + b
b = 4 - (-6/13)(-8)
b = 4/13
the equation of the line that passes through the points (-8,4) and (5,-2) is:
y = (-6/13)x + (4/13).