Question

below represents a linear pattern relating the height (h), in metres, to the time (t), in minutes. which equation generalizes the pattern. (hint: substitution)
time (t minutes) | height (h metres)
0 | 10 000
1 | 9 700
2 | 9 400
3 | 9 100
4 | 8 800
options:
○ t=10000+300h
○ h=1000+300t
○ t=-300h-10000
○ h=-300t+10000
also, there is a partial question: the slope in the equation y=5-4x? *

Explanation:

Step1: Identify slope (m)

Slope $m = \frac{h_2 - h_1}{t_2 - t_1} = \frac{9700 - 10000}{1 - 0} = -300$

Step2: Find y-intercept (b)

At $t=0$, $h=10000$, so $b=10000$

Step3: Write linear equation

$h = mt + b = -300t + 10000$

Answer:

h = -300t + 10000