Question

A line passing through the points (5, -2) and (-1, t) has a slope equal to -5.

Find the value of t.

Answer 1

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.