A line passing through the points (5, -2) and (-1, t) has a slope equal to -5.
Find the value of t.
Let's use the formula for calculating the slope of a line passing through two points, which is given by:
m = (y2 - y1) / (x2 - x1)
Given the points (5, -2) and (-1, t), we can substitute the values into the formula:
-5 = (t - (-2)) / (-1 - 5)
Simplifying the equation:
-5 = (t + 2) / (-6)
Multiplying both sides of the equation by -6 to get rid of the fraction:
30 = t + 2
Subtracting 2 from both sides of the equation:
30 - 2 = t
t = 28
Therefore, the value of t is 28.