A line passing through the points (-1,2) and (5, t) has a slope equal to -4. Find the value of t

 t = -22

Step-by-step explanation:

Using the slope-intercept form, substitute the values from the first coordinate and the given slope to calculate the value of b.

y = mx + b

2 = (-4)(-1) + b

2 = 4 + b

2-4 = b

b = -2

Then substitute the value of b and the values from the second coordinate to calculate t

t = (-4)(5) -2

t = -20 -2

t = -22