Question

A line with a slope of 6 passes through the points (-4, t) and (-5, 0). What is the value of t?

A. 6
B. -6
C. 1
D. -1

Answer 1

To find the value of t, you can use the formula for the slope of a line and solve for t using the given points and slope.

Step-by-step explanation:

To find the value of t, we can use the formula for the slope of a line: slope = (y2 - y1) / (x2 - x1).

Given that the line passes through the points (-4, t) and (-5, 0), we can substitute these values into the formula:

slope = (0 - t) / (-5 - (-4))

Since the slope is given as 6, we can equate the equation to 6 and solve for t:

6 = (0 - t) / (-5 - (-4))

6 = -t / (-5 + 4)

6 = -t / -1

6 = t

Therefore, the value of t is 6. So, the answer is A.